-
1
-
-
0000213877
-
Some remarks on Sobolev type inequalities
-
[1] Adimurthi and S.L. Yadava, Some remarks on Sobolev type inequalities, Calc. Var. and PDEs 2 (1994)427-442.
-
(1994)
Calc. Var. and PDEs
, vol.2
, pp. 427-442
-
-
Adimurthi1
Yadava, S.L.2
-
2
-
-
38249034469
-
Elliptic equations with nearly critical growth
-
[2] F.V. Atkinson and L.A. Peletier, Elliptic equations with nearly critical growth, J. Differential Equations 70 (1987) 349-365.
-
(1987)
J. Differential Equations
, vol.70
, pp. 349-365
-
-
Atkinson, F.V.1
Peletier, L.A.2
-
5
-
-
0001676787
-
Espaces de Sobolev sur les variétés Riemanniennes
-
[5] T. Aubin, Espaces de Sobolev sur les variétés Riemanniennes, Bull. Sci. Math. 100 (1976) 149-173.
-
(1976)
Bull. Sci. Math.
, vol.100
, pp. 149-173
-
-
Aubin, T.1
-
6
-
-
84972498579
-
Problèmes isopérimétriques et espaces de Sobolev
-
[6] T. Aubin, Problèmes isopérimétriques et espaces de Sobolev, J. Diff. Geom. 11 (1976) 573-598.
-
(1976)
J. Diff. Geom.
, vol.11
, pp. 573-598
-
-
Aubin, T.1
-
7
-
-
0032065420
-
Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature
-
[7] T. Aubin, O. Druet and E. Hebey, Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature, C. R. Acad. Sci. Paris 326 ( 1998) 1117-1121.
-
(1998)
C. R. Acad. Sci. Paris
, vol.326
, pp. 1117-1121
-
-
Aubin, T.1
Druet, O.2
Hebey, E.3
-
8
-
-
0000759151
-
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
-
[8] W. Beckner, Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality, Ann. of Math. 138 (1993) 213-242.
-
(1993)
Ann. of Math.
, vol.138
, pp. 213-242
-
-
Beckner, W.1
-
9
-
-
0002405776
-
Sobolev inequalities with remainder terms
-
[9] H. Brezis and E.H. Lieb, Sobolev inequalities with remainder terms, J. Funct. Anal. 62 (1985) 73-86.
-
(1985)
J. Funct. Anal.
, vol.62
, pp. 73-86
-
-
Brezis, H.1
Lieb, E.H.2
-
10
-
-
84990613834
-
Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
-
[10] H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983) 437-477.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, pp. 437-477
-
-
Brezis, H.1
Nirenberg, L.2
-
11
-
-
0001581738
-
Asymptotics for elliptic equations involving critical growth
-
Progress in Nonlinear Differential Equations and Their Applications, No.1, Birkhäuser, Boston
-
[11] H. Brezis and L.A. Peletier, Asymptotics for elliptic equations involving critical growth, in: Partial Differential Equations and the Calculus of Variations, Vol. I, Progress in Nonlinear Differential Equations and Their Applications, No.1, Birkhäuser, Boston, 1989, pp. 149-192.
-
(1989)
Partial Differential Equations and the Calculus of Variations, Vol. I
, vol.1
, pp. 149-192
-
-
Brezis, H.1
Peletier, L.A.2
-
12
-
-
0001611867
-
On the existence of an extremal function for an inequality of J. Moser
-
[12] L. Carleson and S.Y.A. Chang, On the existence of an extremal function for an inequality of J. Moser, Bull. Sci. Math. 110 (1986) 113-127.
-
(1986)
Bull. Sci. Math.
, vol.110
, pp. 113-127
-
-
Carleson, L.1
Chang, S.Y.A.2
-
13
-
-
38249020884
-
Extremals of functional with competing symmetry
-
[13] E. Carlen and M. Loss, Extremals of functional with competing symmetry, J. Funct. Anal. 88 (1990) 437-456.
-
(1990)
J. Funct. Anal.
, vol.88
, pp. 437-456
-
-
Carlen, E.1
Loss, M.2
-
14
-
-
0000041097
-
Meilleures constantes dans des inégalités relatives aux espace de Sobolev
-
[14] P. Cherrier, Meilleures constantes dans des inégalités relatives aux espace de Sobolev, Bull. Sci. Math. 108 (1984) 225-262.
-
(1984)
Bull. Sci. Math.
, vol.108
, pp. 225-262
-
-
Cherrier, P.1
-
16
-
-
85030054770
-
Optimal Sobolev inequalities of arbitrary order on compact riemannian manifolds
-
to appear
-
[16] O. Druet, Optimal Sobolev inequalities of arbitrary order on compact Riemannian manifolds, J. Functional Analysis, to appear.
-
J. Functional Analysis
-
-
Druet, O.1
-
17
-
-
0001256961
-
Sharp constant in a Sobolev trace inequality
-
[17] J.F. Escobar, Sharp constant in a Sobolev trace inequality, Indiana Univ. Math. J. 37 (1988) 687-698.
-
(1988)
Indiana Univ. Math. J.
, vol.37
, pp. 687-698
-
-
Escobar, J.F.1
-
18
-
-
0000008311
-
1+α regularity for solutions of certain degenerate P.D.E
-
1+α regularity for solutions of certain degenerate P.D.E., J. Diff. Eqn. 45 (1982) 356-373.
-
(1982)
J. Diff. Eqn.
, vol.45
, pp. 356-373
-
-
Evans, L.C.1
-
21
-
-
84903853123
-
Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
-
[21] Z.C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991) 159-174.
-
(1991)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.8
, pp. 159-174
-
-
Han, Z.C.1
-
22
-
-
0001099207
-
Degenerate elliptic systems and applications to Ginzburg-Landau type equations, part I
-
[22] Z.C. Han and Y.Y. Li, Degenerate elliptic systems and applications to Ginzburg-Landau type equations, Part I, Calculus of Variations and PDEs 4 ( 1996) 171-202.
-
(1996)
Calculus of Variations and PDEs
, vol.4
, pp. 171-202
-
-
Han, Z.C.1
Li, Y.Y.2
-
23
-
-
0001619214
-
Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius
-
[23] E. Hebey, Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius, Amer. J. Math. 118 (1996) 291-300.
-
(1996)
Amer. J. Math.
, vol.118
, pp. 291-300
-
-
Hebey, E.1
-
24
-
-
0003228562
-
Sobolev spaces on Riemannian manifolds
-
Springer, Berlin
-
[24] E. Hebey, Sobolev Spaces on Riemannian Manifolds, Lecture Notes Math., Vol. 1635, Springer, Berlin, 1996.
-
(1996)
Lecture Notes Math.
, vol.1635
-
-
Hebey, E.1
-
26
-
-
84974004186
-
The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
-
[26] E. Hebey and M. Vaugon, The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds, Duke Math. J. 79 (1995) 235-279.
-
(1995)
Duke Math. J.
, vol.79
, pp. 235-279
-
-
Hebey, E.1
Vaugon, M.2
-
27
-
-
84980086082
-
On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems
-
[27] O.A. Ladyzhenskaya and N.N. Ural'tseva, On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems, Comm. Pure Appl. Math. 14 ( 1961 ) 481 -495.
-
(1961)
Comm. Pure Appl. Math.
, vol.14
, pp. 481-495
-
-
Ladyzhenskaya, O.A.1
Ural'tseva, N.N.2
-
28
-
-
0039500609
-
Sharp Sobolev trace inequality on Riemannian manifolds with boundary
-
[28] Y.Y. Li and M. Zhu, Sharp Sobolev trace inequality on Riemannian manifolds with boundary, Comm. Pure Appl. Math. 50 (1997) 449-487.
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, pp. 449-487
-
-
Li, Y.Y.1
Zhu, M.2
-
29
-
-
0032221698
-
Sharp Sobolev inequalities involving boundary terms
-
[29] Y.Y. Li and M. Zhu, Sharp Sobolev inequalities involving boundary terms, Geometric and Functional Analysis 8 (1998) 59-81.
-
(1998)
Geometric and Functional Analysis
, vol.8
, pp. 59-81
-
-
Li, Y.Y.1
Zhu, M.2
-
30
-
-
84916181784
-
Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
-
[30] E.H. Lieb, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Studies in Appl. Math. 57 (1976/77) 93-105.
-
(1976)
Studies in Appl. Math.
, vol.57
, pp. 93-105
-
-
Lieb, E.H.1
-
31
-
-
0000298073
-
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
-
[31] E.H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. 118 (1983) 349-374.
-
(1983)
Ann. of Math.
, vol.118
, pp. 349-374
-
-
Lieb, E.H.1
-
32
-
-
0001173833
-
A sharp form of an inequality by N. Trudinger
-
[32] J. Moser, A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J. 20 (1970/71) 1077-1092.
-
(1970)
Indiana Univ. Math. J.
, vol.20
, pp. 1077-1092
-
-
Moser, J.1
-
33
-
-
0001648137
-
A general variational identity
-
[33] P. Pucci and J. Serrin, A general variational identity, Indiana Univ. Math. J. 35 (1986) 681-703.
-
(1986)
Indiana Univ. Math. J.
, vol.35
, pp. 681-703
-
-
Pucci, P.1
Serrin, J.2
-
34
-
-
34250392866
-
Best constant in Sobolev inequality
-
[34] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl. 110 (1976) 353-372.
-
(1976)
Ann. Mat. Pura Appl.
, vol.110
, pp. 353-372
-
-
Talenti, G.1
-
35
-
-
33846445540
-
Regularity for a more general class of quasilinear elliptic equations
-
[35] P. Tolksdorff, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Eqn. 51 (1984) 126-150.
-
(1984)
J. Diff. Eqn.
, vol.51
, pp. 126-150
-
-
Tolksdorff, P.1
-
36
-
-
0000453612
-
On imbeddings into Orlicz spaces and some applications
-
[36] N. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967) 473-483.
-
(1967)
J. Math. Mech.
, vol.17
, pp. 473-483
-
-
Trudinger, N.1
-
37
-
-
0003078627
-
Some general forms of sharp Sobolev inequalities
-
[37] M. Zhu, Some general forms of sharp Sobolev inequalities, J. Functional Analysis 156 (1998) 75-120.
-
(1998)
J. Functional Analysis
, vol.156
, pp. 75-120
-
-
Zhu, M.1
-
38
-
-
85030069502
-
Sharp Sobolev inequalities with interior norms
-
to appear
-
[38] M. Zhu, Sharp Sobolev inequalities with interior norms, Calculus of Variations and PDE, to appear.
-
Calculus of Variations and PDE
-
-
Zhu, M.1
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