-
1
-
-
34447257464
-
Occurrence and non-appearance of shocks in fractal Burgers equation
-
N. Alibaud, J. Droniou and J. Vovelle. Occurrence and non-appearance of shocks in fractal Burgers equation. J. Hyperbol. Diff. Eqns 4 (2007), 479–499.
-
(2007)
J. Hyperbol. Diff. Eqns
, vol.4
, pp. 479-499
-
-
Alibaud, N.1
Droniou, J.2
Vovelle, J.3
-
2
-
-
34548350707
-
Dual variational methods in critical points theory and applications
-
A. Ambrosetti and P. Rabinowitz. Dual variational methods in critical points theory and applications. J. Funct. Analysis 14 (1973), 349–381.
-
(1973)
J. Funct. Analysis
, vol.14
, pp. 349-381
-
-
Ambrosetti, A.1
Rabinowitz, P.2
-
4
-
-
0031142252
-
Decay and analyticity of solitary waves
-
J. L. Bona and Y. A. Li. Decay and analyticity of solitary waves. J. Math. Pures Appl. 76 (1997), 377–430.
-
(1997)
J. Math. Pures Appl.
, vol.76
, pp. 377-430
-
-
Bona, J.L.1
Li, Y.A.2
-
6
-
-
71749086098
-
Front propagation in Fisher--KPP equations with fractional diffusion
-
X. Cabré and J.-M. Roquejoffre. Front propagation in Fisher--KPP equations with fractional diffusion. C. R. Acad. Sci. Paris Ser. I 347 (2009), 1361–1366.
-
(2009)
C. R. Acad. Sci. Paris Ser. I
, vol.347
, pp. 1361-1366
-
-
Cabré, X.1
Roquejoffre, J.-M.2
-
7
-
-
84873113675
-
Nonlinear equations for fractional Laplacians. I. Regularity, maximum principles, and Hamiltonian estimates
-
(In the press.)
-
X. Cabre and Y. Sire. Nonlinear equations for fractional Laplacians. I. Regularity, maximum principles, and Hamiltonian estimates. Analysis PDEs (In the press.)
-
Analysis PDEs
-
-
Cabre, X.1
Sire, Y.2
-
8
-
-
30544441113
-
Layer solutions in a half-space for boundary reactions
-
X. Cabre and J. Sola-Morales. Layer solutions in a half-space for boundary reactions. Commun. Pure Appl. Math. 58 (2005), 1678–1732.
-
(2005)
Commun. Pure Appl. Math.
, vol.58
, pp. 1678-1732
-
-
Cabre, X.1
Sola-Morales, J.2
-
9
-
-
77952952045
-
Positive solutions of nonlinear problems involving the square root of the Laplacian
-
X. Cabre and J. Tan. Positive solutions of nonlinear problems involving the square root of the Laplacian. Adv. Math. 224 (2010), 2052–2093.
-
(2010)
Adv. Math.
, vol.224
, pp. 2052-2093
-
-
Cabre, X.1
Tan, J.2
-
10
-
-
34548348805
-
An extension problem related to the fractional Laplacian
-
L. Caffarelli and L. Silvestre. An extension problem related to the fractional Laplacian. Commun. PDEs 32 (2007), 1245–1260.
-
(2007)
Commun. PDEs
, vol.32
, pp. 1245-1260
-
-
Caffarelli, L.1
Silvestre, L.2
-
11
-
-
79960514178
-
Regularity of radial extremal solutions for some non-local semilinear equations
-
A. Capella, J. Dávila, L. Dupaigne and Y. Sire. Regularity of radial extremal solutions for some non-local semilinear equations. Commun. PDEs 36 (2011), 1353–1384.
-
(2011)
Commun. PDEs
, vol.36
, pp. 1353-1384
-
-
Capella, A.1
Dávila, J.2
Dupaigne, L.3
Sire, Y.4
-
12
-
-
15744399200
-
Qualitative properties of solutions for an integral equation
-
W. Chen, C. Li and B. Ou. Qualitative properties of solutions for an integral equation. Discrete Contin. Dynam. Syst. 12 (2005), 347–354.
-
(2005)
Discrete Contin. Dynam. Syst.
, vol.12
, pp. 347-354
-
-
Chen, W.1
Li, C.2
Ou, B.3
-
13
-
-
33644613818
-
Classification of solutions for an integral equation
-
W. Chen, C. Li and B. Ou. Classification of solutions for an integral equation. Commun. Pure Appl. Math. 59 (2006), 330–343.
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, pp. 330-343
-
-
Chen, W.1
Li, C.2
Ou, B.3
-
14
-
-
84990556307
-
Homoclinic type solutions for a semilinear elliptic PDE on Rn
-
V. Coti Zelati and P. Rabinowitz. Homoclinic type solutions for a semilinear elliptic PDE on Rn. Commun. Pure Appl. Math. 45 (1992), 1217–1269.
-
(1992)
Commun. Pure Appl. Math.
, vol.45
, pp. 1217-1269
-
-
Coti Zelati, V.1
Rabinowitz, P.2
-
15
-
-
0031502156
-
Symmetries and decay of the generalized Kadomtsev-Petvi-ashvili solitary waves
-
A. de Bouard and J. C. Saut. Symmetries and decay of the generalized Kadomtsev-Petvi-ashvili solitary waves. SIAM J. Math. Analysis 28 (1997), 1064–1085.
-
(1997)
SIAM J. Math. Analysis
, vol.28
, pp. 1064-1085
-
-
de Bouard, A.1
Saut, J.C.2
-
16
-
-
0001341199
-
Local mountain passes for semilinear elliptic problems in unbounded domains
-
M. del Pino and P. Felmer. Local mountain passes for semilinear elliptic problems in unbounded domains. Calc. Var. PDEs 4 (1996), 121–137.
-
(1996)
Calc. Var. PDEs
, vol.4
, pp. 121-137
-
-
del Pino, M.1
Felmer, P.2
-
17
-
-
0003448545
-
-
(Providence, RI: American Mathematical Society
-
L. Evans. Partial differential equations (Providence, RI: American Mathematical Society, 1998).
-
(1998)
Partial differential equations
-
-
Evans, L.1
-
18
-
-
0003035995
-
The local regularity of solutions of degenerate elliptic equations
-
E. Fabes, C. Kenig and R. Serapioni. The local regularity of solutions of degenerate elliptic equations. Commun. PDEs 7 (1982), 77–116.
-
(1982)
Commun. PDEs
, vol.7
, pp. 77-116
-
-
Fabes, E.1
Kenig, C.2
Serapioni, R.3
-
19
-
-
0001613187
-
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
-
A. Floer and A. Weinstein. Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. J. Funct. Analysis 69 (1986), 397–408.
-
(1986)
J. Funct. Analysis
, vol.69
, pp. 397-408
-
-
Floer, A.1
Weinstein, A.2
-
21
-
-
55349101942
-
Hardy-Lieb-Thirring inequalities for fractional Schrodinger operators
-
R. L. Frank, E. H. Lieb and R. Seiringer. Hardy-Lieb-Thirring inequalities for fractional Schrodinger operators. J. Am. Math. Soc. 21 (2008), 925–950.
-
(2008)
J. Am. Math. Soc.
, vol.21
, pp. 925-950
-
-
Frank, R.L.1
Lieb, E.H.2
Seiringer, R.3
-
22
-
-
0000924617
-
Symmetry of positive solutions of nonlinear elliptic equations in Rn
-
Part A, Adv. Math. Supp. Stud., (New York: Academic Press
-
B. Gidas, W. M. Ni and L. Nirenberg. Symmetry of positive solutions of nonlinear elliptic equations in Rn. Mathematical Analysis and Applications, Part A, Adv. Math. Supp. Stud., vol. 7a, pp. 369–402 (New York: Academic Press, 1981).
-
(1981)
Mathematical Analysis and Applications
, vol.7a
, pp. 369-402
-
-
Gidas, B.1
Ni, W.M.2
Nirenberg, L.3
-
23
-
-
81555228569
-
Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations
-
C. Kenig, Y. Martel and L. Robbiano. Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations. Annales Inst. H. Poincaré Analyse Non Linéaire 28 (2011), 853–887.
-
(2011)
Annales Inst. H. Poincaré Analyse Non Linéaire
, vol.28
, pp. 853-887
-
-
Kenig, C.1
Martel, Y.2
Robbiano, L.3
-
24
-
-
0000415309
-
Fractional quantum mechanics and Levy path integrals
-
N. Laskin. Fractional quantum mechanics and Levy path integrals. Phys. Lett. A 268 (2000), 298–305.
-
(2000)
Phys. Lett. A
, vol.268
, pp. 298-305
-
-
Laskin, N.1
-
25
-
-
41349084761
-
Fractional Schrödinger equation
-
N. Laskin. Fractional Schrödinger equation. Phys. Rev. 66 (2002), 56–108.
-
(2002)
Phys. Rev.
, vol.66
, pp. 56-108
-
-
Laskin, N.1
-
26
-
-
2442503290
-
Remark on some conformally invariant integral equations: the method of moving spheres
-
Y. Y. Li. Remark on some conformally invariant integral equations: the method of moving spheres. J. Eur. Math. Soc. 6 (2004), 153–180.
-
(2004)
J. Eur. Math. Soc.
, vol.6
, pp. 153-180
-
-
Li, Y.Y.1
-
27
-
-
40649118958
-
Radial symmetry and monotonicity for an integral equation
-
L. Ma and D. Chen. Radial symmetry and monotonicity for an integral equation. J. Math. Analysis Applic. 342 (2008), 943–949.
-
(2008)
J. Math. Analysis Applic.
, vol.342
, pp. 943-949
-
-
Ma, L.1
Chen, D.2
-
28
-
-
0036885448
-
On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
-
M. Maris. On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation. Nonlin. Analysis 51 (2002), 1073–1085.
-
(2002)
Nonlin. Analysis
, vol.51
, pp. 1073-1085
-
-
Maris, M.1
-
29
-
-
0003345272
-
Critical point theory and Hamiltonian systems
-
Springer
-
J. Mawhin and M. Willem. Critical point theory and Hamiltonian systems, Appl. Math. Sci., vol. 74 (Springer, 1989).
-
(1989)
Appl. Math. Sci.
, vol.74
-
-
Mawhin, J.1
Willem, M.2
-
30
-
-
0001232688
-
On the zeros of an integral function represented by Fourierʼns integral
-
G. Pálya. On the zeros of an integral function represented by Fourierʼns integral. Mess. Math. 52 (1923), 185–188.
-
(1923)
Mess. Math.
, vol.52
, pp. 185-188
-
-
Pálya, G.1
-
31
-
-
34249835055
-
On a class of nonlinear Schrodinger equations
-
P. Rabinowitz. On a class of nonlinear Schrodinger equations. Z. Angew. Math. Phys. 43 (1992), 270–291.
-
(1992)
Z. Angew. Math. Phys.
, vol.43
, pp. 270-291
-
-
Rabinowitz, P.1
-
32
-
-
33751514593
-
Regularity of the obstacle problem for a fractional power of the Laplace operator
-
L. Silvestre. Regularity of the obstacle problem for a fractional power of the Laplace operator. Commun. Pure Appl. Math. 60 (2007), 67–112.
-
(2007)
Commun. Pure Appl. Math.
, vol.60
, pp. 67-112
-
-
Silvestre, L.1
-
33
-
-
59849109073
-
Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result
-
Y. Sire and E. Valdinoci. Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result. J. Funct. Analysis 256 (2009), 1842–1886
-
(2009)
J. Funct. Analysis
, vol.256
, pp. 1842-1886
-
-
Sire, Y.1
Valdinoci, E.2
-
35
-
-
80052309087
-
From the long jump random walk to the fractional Laplacian
-
E. Valdinoci. From the long jump random walk to the fractional Laplacian. Bol. Soc. Esp. Mat. Apl. 49 (2009), 33–44.
-
(2009)
Bol. Soc. Esp. Mat. Apl.
, vol.49
, pp. 33-44
-
-
Valdinoci, E.1
-
36
-
-
34250081368
-
On concentration of positive bound states of nonlinear Schrödinger equations
-
X. Wang. On concentration of positive bound states of nonlinear Schrödinger equations. Commun. Math. Phys. 153 (1993), 229–244.
-
(1993)
Commun. Math. Phys.
, vol.153
, pp. 229-244
-
-
Wang, X.1
-
37
-
-
38249033623
-
Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities
-
M. Weinstein. Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. J. Diff. Eqns 69 (1987), 192–203.
-
(1987)
J. Diff. Eqns
, vol.69
, pp. 192-203
-
-
Weinstein, M.1
|