-
1
-
-
0003851729
-
-
National Bureau of Standards Applied Mathematics Series 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., . MR 29 #4914 Zbl 0171.38503
-
[Abramowitz and Stegun 1964] M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 29 #4914 Zbl 0171.38503
-
(1964)
Handbook of mathematical functions with formulas, graphs, and mathematical tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
34249839460
-
On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
-
MR 93i:53040 Zbl 0764.53027
-
[Andersson et al. 1992] L. Andersson, P. T. Chruściel, and H. Friedrich, "On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations", Comm. Math. Phys. 149:3 (1992), 587-612. MR 93i:53040 Zbl 0764.53027
-
(1992)
Comm. Math. Phys.
, vol.149
, Issue.3
, pp. 587-612
-
-
Andersson, L.1
Chruściel, P.T.2
Friedrich, H.3
-
3
-
-
0003872752
-
-
Grundlehren der Mathematischen Wissenschaften , Springer, New York,. MR 85j:58002 Zbl 0512.53044
-
[Aubin 1982] T. Aubin, Nonlinear analysis on manifolds: Monge-Ampère equations, Grundlehren der Mathematischen Wissenschaften 252, Springer, New York, 1982. MR 85j:58002 Zbl 0512.53044
-
(1982)
Nonlinear analysis on manifolds: Monge-Ampère equations
, vol.252
-
-
Aubin, T.1
-
4
-
-
84859647866
-
On some critical problems for the fractional Laplacian operator
-
MR 2911424 Zbl 1245.35034
-
[Barrios et al. 2012] B. Barrios, E. Colorado, A. de Pablo, and U. Sánchez, "On some critical problems for the fractional Laplacian operator", J. Differential Equations 252:11 (2012), 6133-6162. MR 2911424 Zbl 1245.35034
-
(2012)
J. Differential Equations
, vol.252
, Issue.11
, pp. 6133-6162
-
-
Barrios, B.1
Colorado, E.2
de Pablo, A.3
Sánchez, U.4
-
5
-
-
0000759151
-
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
-
2/138, MR 94m:58232 Zbl 0826.58042
-
[Beckner 1993] W. Beckner, "Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality", Ann. of Math. .2/ 138:1 (1993), 213-242. MR 94m:58232 Zbl 0826.58042
-
(1993)
Ann. of Math.
, vol.1
, pp. 213-242
-
-
Beckner, W.1
-
6
-
-
21844498042
-
Sharp inequalities, the functional determinant, and the complementary series
-
MR 96e:58162 Zbl 0848.58047
-
[Branson 1995] T. P. Branson, "Sharp inequalities, the functional determinant, and the complementary series", Trans. Amer. Math. Soc. 347:10 (1995), 3671-3742. MR 96e:58162 Zbl 0848.58047
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, Issue.10
, pp. 3671-3742
-
-
Branson, T.P.1
-
7
-
-
84891902447
-
Sharp energy estimates for nonlinear fractional diffusion equations
-
Partial Differential Equations
-
[Cabré and Cinti 2012] X. Cabré and E. Cinti, "Sharp energy estimates for nonlinear fractional diffusion equations", Calc. Var. Partial Differential Equations (2012).
-
(2012)
Calc. Var.
-
-
Cabré, X.1
Cinti, E.2
-
8
-
-
84878313652
-
The influence of fractional diffusion in Fisher-KPP equations
-
MR 3057187 Zbl 06179645
-
[Cabré and Roquejoffre 2013] X. Cabré and J.-M. Roquejoffre, "The influence of fractional diffusion in Fisher-KPP equations", Comm. Math. Phys. 320:3 (2013), 679-722. MR 3057187 Zbl 06179645
-
(2013)
Comm. Math. Phys.
, vol.320
, Issue.3
, pp. 679-722
-
-
Cabré, X.1
Roquejoffre, J.-M.2
-
9
-
-
84894026512
-
Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates
-
arXiv 1012.0867
-
[Cabré and Sire 2010] X. Cabré and Y. Sire, "Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates", preprint, 2010. arXiv 1012.0867
-
(2010)
preprint
-
-
Cabré, X.1
Sire, Y.2
-
10
-
-
34548348805
-
An extension problem related to the fractional Laplacian
-
MR 2009k:35096 Zbl 1143.26002
-
[Caffarelli and Silvestre 2007] L. Caffarelli and L. Silvestre, "An extension problem related to the fractional Laplacian", Comm. Partial Differential Equations 32:7-9 (2007), 1245-1260. MR 2009k:35096 Zbl 1143.26002
-
(2007)
Comm. Partial Differential Equations
, vol.32
, Issue.7-9
, pp. 1245-1260
-
-
Caffarelli, L.1
Silvestre, L.2
-
11
-
-
78149496757
-
Fractional Laplacian in conformal geometry.
-
Zbl 1214.26005
-
[Chang and González 2011] S.-Y. A. Chang and M. d. M. González, "Fractional Laplacian in conformal geometry.", Adv. Math. 226:2 (2011), 1410-1432. Zbl 1214.26005
-
(2011)
Adv. Math.
, vol.226
, Issue.2
, pp. 1410-1432
-
-
Chang, S.-Y.A.1
González, M.d.M.2
-
12
-
-
84968499149
-
A note on a weighted Sobolev inequality
-
MR 86h:46052 Zbl 0526.35015
-
[Chiarenza and Frasca 1985] F. Chiarenza and M. Frasca, "A note on a weighted Sobolev inequality", Proc. Amer. Math. Soc. 93:4 (1985), 703-704. MR 86h:46052 Zbl 0526.35015
-
(1985)
Proc. Amer. Math. Soc.
, vol.93
, Issue.4
, pp. 703-704
-
-
Chiarenza, F.1
Frasca, M.2
-
13
-
-
3142718182
-
Best constants for Sobolev inequalities for higher order fractional derivatives
-
MR 2005d:46070 Zbl 1084.26009
-
[Cotsiolis and Tavoularis 2004] A. Cotsiolis and N. K. Tavoularis, "Best constants for Sobolev inequalities for higher order fractional derivatives", J. Math. Anal. Appl. 295:1 (2004), 225-236. MR 2005d:46070 Zbl 1084.26009
-
(2004)
J. Math. Anal. Appl.
, vol.295
, Issue.1
, pp. 225-236
-
-
Cotsiolis, A.1
Tavoularis, N.K.2
-
14
-
-
84863469913
-
Hitchhiker's guide to the fractional Sobolev spaces
-
Zbl 06064171
-
[Di Nezza et al. 2012] E. Di Nezza, G. Palatucci, and E. Valdinoci, "Hitchhiker's guide to the fractional Sobolev spaces", Bull. Sci. Math. 136:5 (2012), 521-573. Zbl 06064171
-
(2012)
Bull. Sci. Math.
, vol.136
, Issue.5
, pp. 521-573
-
-
Di Nezza, E.1
Palatucci, G.2
Valdinoci, E.3
-
15
-
-
0001256961
-
Sharp constant in a Sobolev trace inequality
-
MR 90a:46071 Zbl 0666.35014
-
[Escobar 1988] J. F. Escobar, "Sharp constant in a Sobolev trace inequality", Indiana Univ. Math. J. 37:3 (1988), 687-698. MR 90a:46071 Zbl 0666.35014
-
(1988)
Indiana Univ. Math. J.
, vol.37
, Issue.3
, pp. 687-698
-
-
Escobar, J.F.1
-
16
-
-
0002416517
-
Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
-
2/136, MR 93e:53046 Zbl 0766.53033
-
[Escobar 1992] J. F. Escobar, "Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary", Ann. of Math. .2/ 136:1 (1992), 1-50. MR 93e:53046 Zbl 0766.53033
-
(1992)
Ann. of Math. .
, vol.1
, pp. 1-50
-
-
Escobar, J.F.1
-
17
-
-
0001616703
-
The Wiener test for degenerate elliptic equations
-
MR 84g:35067
-
[Fabes et al. 1982a] E. Fabes, D. Jerison, and C. Kenig, "The Wiener test for degenerate elliptic equations", Ann. Inst. Fourier .Grenoble/ 32:3 (1982), vi, 151-182. MR 84g:35067
-
(1982)
Ann. Inst. Fourier .Grenoble
, vol.32
, Issue.3
-
-
Fabes, E.1
Jerison, D.2
Kenig, C.3
-
18
-
-
0003035995
-
The local regularity of solutions of degenerate elliptic equations
-
MR 84i:35070 Zbl 0498.35042
-
[Fabes et al. 1982b] E. B. Fabes, C. E. Kenig, and R. P. Serapioni, "The local regularity of solutions of degenerate elliptic equations", Comm. Partial Differential Equations 7:1 (1982), 77-116. MR 84i:35070 Zbl 0498.35042
-
(1982)
Comm. Partial Differential Equations
, vol.7
, Issue.1
, pp. 77-116
-
-
Fabes, E.B.1
Kenig, C.E.2
Serapioni, R.P.3
-
19
-
-
0036324616
-
Q-curvature and Poincaré metrics
-
MR 2003f:53053 Zbl 1016.53031
-
[Fefferman and Graham 2002] C. Fefferman and C. R. Graham, "Q-curvature and Poincaré metrics", Math. Res. Lett. 9:2-3 (2002), 139-151. MR 2003f:53053 Zbl 1016.53031
-
(2002)
Math. Res. Lett.
, vol.9
, Issue.2-3
, pp. 139-151
-
-
Fefferman, C.1
Graham, C.R.2
-
21
-
-
85014718935
-
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality in Spectral theory, function spaces and inequalities: new techniques and recent trends, edited by B. M. Brown et al.,
-
Birkhäuser, Basel,. MR 2848628 Zbl 06084278
-
[Frank and Lieb 2012] R. L. Frank and E. H. Lieb, "A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality", pp. 55-67 in Spectral theory, function spaces and inequalities: new techniques and recent trends, edited by B. M. Brown et al., Oper. Theory Adv. Appl. 219, Birkhäuser, Basel, 2012. MR 2848628 Zbl 06084278
-
(2012)
Oper. Theory Adv. Appl.
, vol.219
, pp. 55-67
-
-
Frank, R.L.1
Lieb, E.H.2
-
22
-
-
0003549965
-
-
2nd ed., Grundlehren der Mathematischen Wissenschaften 224, Springer, Berlin,. MR 86c:35035 Zbl 0562.35001
-
[Gilbarg and Trudinger 1983] D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, 2nd ed., Grundlehren der Mathematischen Wissenschaften 224, Springer, Berlin, 1983. MR 86c:35035 Zbl 0562.35001
-
(1983)
Elliptic partial differential equations of second order
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
23
-
-
70350180632
-
Gamma convergence of an energy functional related to the fractional Laplacian
-
MR 2011a:49024 Zbl 1175.49013
-
[González 2009] M. d. M. González, "Gamma convergence of an energy functional related to the fractional Laplacian", Calc. Var. Partial Differential Equations 36:2 (2009), 173-210. MR 2011a:49024 Zbl 1175.49013
-
(2009)
Calc. Var. Partial Differential Equations
, vol.36
, Issue.2
, pp. 173-210
-
-
González, M.d.M.1
-
24
-
-
84866556648
-
Renormalized weighted volume and conformal fractional Laplacians
-
MR 2972470 Zbl 1250.53036
-
[González 2012] M. d. M. González, "Renormalized weighted volume and conformal fractional Laplacians", Pacific J. Math. 257:2 (2012), 379-394. MR 2972470 Zbl 1250.53036
-
(2012)
Pacific J. Math.
, vol.257
, Issue.2
, pp. 379-394
-
-
González, M.d.M.1
-
25
-
-
84859550824
-
Slow motion of particle systems as a limit of a reactiondiffusion equation with half-Laplacian in dimension one
-
MR 2851899 Zbl 1234.35267
-
[González and Monneau 2012] M. d. M. González and R. Monneau, "Slow motion of particle systems as a limit of a reactiondiffusion equation with half-Laplacian in dimension one", Discrete Contin. Dyn. Syst. 32:4 (2012), 1255-1286. MR 2851899 Zbl 1234.35267
-
(2012)
Discrete Contin. Dyn. Syst.
, vol.32
, Issue.4
, pp. 1255-1286
-
-
González, M.d.M.1
Monneau, R.2
-
26
-
-
84863838727
-
Singular solutions of fractional order conformal Laplacians
-
MR 2927681 Zbl 1255.53037
-
[González et al. 2012] M. d. M. González, R. Mazzeo, and Y. Sire, "Singular solutions of fractional order conformal Laplacians", J. Geom. Anal. 22:3 (2012), 845-863. MR 2927681 Zbl 1255.53037
-
(2012)
J. Geom. Anal.
, vol.22
, Issue.3
, pp. 845-863
-
-
González, M.d.M.1
Mazzeo, R.2
Sire, Y.3
-
27
-
-
0001877030
-
Volume and area renormalizations for conformally compact Einstein metrics in The Proceedings of the 19th Winter School
-
(Srní, 1999)MR 2002c:53073 Zbl 0984.53020
-
[Graham 2000] C. R. Graham, "Volume and area renormalizations for conformally compact Einstein metrics", pp. 31-42 in The Proceedings of the 19th Winter School "Geometry and Physics" (Srní, 1999), vol. 63, 2000. MR 2002c:53073 Zbl 0984.53020
-
(2000)
Geometry and Physics
, vol.63
, pp. 31-42
-
-
Graham, C.R.1
-
28
-
-
0037596450
-
Scattering matrix in conformal geometry
-
MR 2004c:58064 Zbl 1030.58022
-
[Graham and Zworski 2003] C. R. Graham and M. Zworski, "Scattering matrix in conformal geometry", Invent. Math. 152:1 (2003), 89-118. MR 2004c:58064 Zbl 1030.58022
-
(2003)
Invent. Math.
, vol.152
, Issue.1
, pp. 89-118
-
-
Graham, C.R.1
Zworski, M.2
-
29
-
-
84962999126
-
Conformally invariant powers of the Laplacian. I. Existence
-
2/46, MR 94c:58226 Zbl 0726.53010
-
[Graham et al. 1992] C. R. Graham, R. Jenne, L. J. Mason, and G. A. J. Sparling, "Conformally invariant powers of the Laplacian. I. Existence", J. London Math. Soc. .2/ 46:3 (1992), 557-565. MR 94c:58226 Zbl 0726.53010
-
(1992)
J. London Math. Soc. .
, vol.3
, pp. 557-565
-
-
Graham, C.R.1
Jenne, R.2
Mason, L.J.3
Sparling, G.A.J.4
-
30
-
-
77951779093
-
Spectral characterization of Poincaré-Einstein manifolds with infinity of positive Yamabe type
-
MR 2011f:58048 Zbl 1191.53030
-
[Guillarmou and Qing 2010] C. Guillarmou and J. Qing, "Spectral characterization of Poincaré-Einstein manifolds with infinity of positive Yamabe type", Int. Math. Res. Not. 2010:9 (2010), 1720-1740. MR 2011f:58048 Zbl 1191.53030
-
(2010)
Int. Math. Res. Not.
, vol.2010
, Issue.9
, pp. 1720-1740
-
-
Guillarmou, C.1
Qing, J.2
-
31
-
-
84885586318
-
Sharp constants in weighted trace inequalities on Riemannian manifolds
-
MR 3116023 Zbl 06195042
-
[Jin and Xiong 2013] T. Jin and J. Xiong, "Sharp constants in weighted trace inequalities on Riemannian manifolds", Calc. Var. Partial Differential Equations 48:3-4 (2013), 555-585. MR 3116023 Zbl 06195042
-
(2013)
Calc. Var. Partial Differential Equations
, vol.48
, Issue.3-4
, pp. 555-585
-
-
Jin, T.1
Xiong, J.2
-
32
-
-
84968518038
-
The Yamabe problem
-
MR 88f:53001 Zbl 0633.53062
-
[Lee and Parker 1987] J. M. Lee and T. H. Parker, "The Yamabe problem", Bull. Amer. Math. Soc. .N.S./ 17:1 (1987), 37-91. MR 88f:53001 Zbl 0633.53062
-
(1987)
Bull. Amer. Math. Soc. (N.S.)
, vol.17
, Issue.1
, pp. 37-91
-
-
Lee, J.M.1
Parker, T.H.2
-
33
-
-
0000298073
-
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
-
2/118, MR 86i:42010 Zbl 0527.42011
-
[Lieb 1983] E. H. Lieb, "Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities", Ann. of Math. .2/ 118:2 (1983), 349-374. MR 86i:42010 Zbl 0527.42011
-
(1983)
Ann. of Math. .
, vol.2
, pp. 349-374
-
-
Lieb, E.H.1
-
34
-
-
0003796632
-
-
Springer, Berlin,. MR 87g:46056 Zbl 0692.46023
-
[Maz'ja 1985] V. G. Maz'ja, Sobolev spaces, Springer, Berlin, 1985. MR 87g:46056 Zbl 0692.46023
-
(1985)
Sobolev spaces
-
-
Maz'ja, V.G.1
-
35
-
-
0000900395
-
Regularity for the singular Yamabe problem
-
MR 92k:53071 Zbl 0770.53032
-
[Mazzeo 1991] R. Mazzeo, "Regularity for the singular Yamabe problem", Indiana Univ. Math. J. 40:4 (1991), 1277-1299. MR 92k:53071 Zbl 0770.53032
-
(1991)
Indiana Univ. Math. J.
, vol.40
, Issue.4
, pp. 1277-1299
-
-
Mazzeo, R.1
-
36
-
-
0001189870
-
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
-
MR 89c:58133 Zbl 0636.58034
-
[Mazzeo and Melrose 1987] R. R. Mazzeo and R. B. Melrose, "Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature", J. Funct. Anal. 75:2 (1987), 260-310. MR 89c:58133 Zbl 0636.58034
-
(1987)
J. Funct. Anal.
, vol.75
, Issue.2
, pp. 260-310
-
-
Mazzeo, R.R.1
Melrose, R.B.2
-
37
-
-
0037106757
-
Sharp inequalities for functional integrals and traces of conformally invariant operators
-
MR 2004f:58035 Zbl 1065.58022
-
[Morpurgo 2002] C. Morpurgo, "Sharp inequalities for functional integrals and traces of conformally invariant operators", Duke Math. J. 114:3 (2002), 477-553. MR 2004f:58035 Zbl 1065.58022
-
(2002)
Duke Math. J.
, vol.114
, Issue.3
, pp. 477-553
-
-
Morpurgo, C.1
-
38
-
-
84886001543
-
Weighted norm inequalities for the Hardy maximal function
-
MR 45 #2461 Zbl 0236.26016
-
[Muckenhoupt 1972] B. Muckenhoupt, "Weighted norm inequalities for the Hardy maximal function", Trans. Amer. Math. Soc. 165 (1972), 207-226. MR 45 #2461 Zbl 0236.26016
-
(1972)
Trans. Amer. Math. Soc.
, vol.165
, pp. 207-226
-
-
Muckenhoupt, B.1
-
39
-
-
0011667871
-
M) on
-
4, MR 95i:46041 Zbl 0832.46026
-
M) on M", Czechoslovak Math. J. 43(118):4 (1993), 695-711. MR 95i:46041 Zbl 0832.46026
-
(1993)
Czechoslovak Math. J.
, vol.43
, Issue.118
, pp. 695-711
-
-
Nekvinda, A.1
-
40
-
-
84857282503
-
A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (summary)
-
Paper 036, 3. MR 2009b:58080 Zbl 1145.53053
-
[Paneitz 2008] S. M. Paneitz, "A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (summary)", SIGMA Symmetry Integrability Geom. Methods Appl. 4 (2008), Paper 036, 3. MR 2009b:58080 Zbl 1145.53053
-
(2008)
SIGMA Symmetry Integrability Geom. Methods Appl.
, vol.4
-
-
Paneitz, S.M.1
-
41
-
-
33646430609
-
On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
-
Art. ID 94172, 20. MR 2007a:58044 Zbl 1115.53028
-
[Qing and Raske 2006] J. Qing and D. Raske, "On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds", Int. Math. Res. Not. 2006 (2006), Art. ID 94172, 20. MR 2007a:58044 Zbl 1115.53028
-
(2006)
Int. Math. Res. Not.
, vol.2006
-
-
Qing, J.1
Raske, D.2
-
42
-
-
84894039005
-
-
Conference Proceedings and Lecture Notes in Geometry and Topology, International Press, Cambridge, MA, 1994. MR 97d:53001 Zbl 0830.53001
-
[Schoen and Yau 1994] R. Schoen and S.-T. Yau, Lectures on differential geometry, vol. I, Conference Proceedings and Lecture Notes in Geometry and Topology, International Press, Cambridge, MA, 1994. MR 97d:53001 Zbl 0830.53001
-
Lectures on differential geometry
, vol.1
-
-
Schoen, R.1
Yau, S.T.2
-
43
-
-
84885802074
-
The Yamabe equation in a non-local setting
-
MR 3089742 Zbl 06214507
-
[Servadei 2013] R. Servadei, "The Yamabe equation in a non-local setting", Adv. Nonlinear Anal. 2:3 (2013), 235-270. MR 3089742 Zbl 06214507
-
(2013)
Adv. Nonlinear Anal.
, vol.2
, Issue.3
, pp. 235-270
-
-
Servadei, R.1
|