-
2
-
-
0040435197
-
Multiplicity results for some nonlinear Schrödinger equations with potentials
-
A. Ambrosetti, A. Malchiodi and S. Secchi, Multiplicity results for some nonlinear Schrödinger equations with potentials. Arch. Ration. Mech. Anal. 159 (2001) 253-271.
-
(2001)
Arch. Ration. Mech. Anal
, vol.159
, pp. 253-271
-
-
Ambrosetti, A.1
Malchiodi, A.2
Secchi, S.3
-
3
-
-
0348162460
-
A semilinear Schrödinger equations in the presence of a magnetic field
-
G. Arioli and A. Szulkin, A semilinear Schrödinger equations in the presence of a magnetic field. Arch. Ration. Mech. Anal. 170 (2003) 277-295.
-
(2003)
Arch. Ration. Mech. Anal
, vol.170
, pp. 277-295
-
-
Arioli, G.1
Szulkin, A.2
-
4
-
-
41749115866
-
Single-peaks for a magnetic Schrödinger equation with critical growth
-
S. Barile, S. Cingolani and S. Secchi, Single-peaks for a magnetic Schrödinger equation with critical growth. Adv. Diff. Equations 11 (2006) 1135-1166.
-
(2006)
Adv. Diff. Equations
, vol.11
, pp. 1135-1166
-
-
Barile, S.1
Cingolani, S.2
Secchi, S.3
-
5
-
-
41749121628
-
On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields
-
T. Bartsch, E.N. Dancer and S. Peng, On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Adv. Diff. Equations 11 (2006) 781-812.
-
(2006)
Adv. Diff. Equations
, vol.11
, pp. 781-812
-
-
Bartsch, T.1
Dancer, E.N.2
Peng, S.3
-
7
-
-
34547328617
-
Standing waves for nonlinear Schrödinger equations with a general nonlinearity
-
J. Byeon and L. Jeanjean, Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Arch. Ration. Mech. Anal. 185 (2007) 185-200.
-
(2007)
Arch. Ration. Mech. Anal
, vol.185
, pp. 185-200
-
-
Byeon, J.1
Jeanjean, L.2
-
8
-
-
34547328617
-
-
J. Byeon and L. Jeanjean, Erratum: Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Arch. Ration. Mech. Anal. DOI 10.1007/s00205-006-0019-3.
-
J. Byeon and L. Jeanjean, Erratum: Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Arch. Ration. Mech. Anal. DOI 10.1007/s00205-006-0019-3.
-
-
-
-
9
-
-
36248941304
-
Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
-
J. Byeon and L. Jeanjean, Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity. Discrete Cont. Dyn. Systems 19 (2007) 255-269.
-
(2007)
Discrete Cont. Dyn. Systems
, vol.19
, pp. 255-269
-
-
Byeon, J.1
Jeanjean, L.2
-
10
-
-
0036027321
-
Standing waves with critical frequency for nonlinear Schrödinger equations
-
J. Byeon and Z.-Q. Wang, Standing waves with critical frequency for nonlinear Schrödinger equations. Arch. Rat. Mech. Anal. 165 (2002) 295-316.
-
(2002)
Arch. Rat. Mech. Anal
, vol.165
, pp. 295-316
-
-
Byeon, J.1
Wang, Z.-Q.2
-
11
-
-
0142230503
-
Standing waves with critical frequency for nonlinear Schrödinger equations II
-
J. Byeon and Z.-Q. Wang, Standing waves with critical frequency for nonlinear Schrödinger equations II. Calc. Var. Partial Differ. Equ. 18 (2003) 207-219.
-
(2003)
Calc. Var. Partial Differ. Equ
, vol.18
, pp. 207-219
-
-
Byeon, J.1
Wang, Z.-Q.2
-
12
-
-
45849139773
-
Standing waves for nonlinear Schrödinger equations with a general nonlinearity: One and two dimensional cases
-
J. Byeon, L. Jeanjean and K. Tanaka, Standing waves for nonlinear Schrödinger equations with a general nonlinearity: one and two dimensional cases. Comm. Partial Diff. Eq. 33 (2008) 1113-1136.
-
(2008)
Comm. Partial Diff. Eq
, vol.33
, pp. 1113-1136
-
-
Byeon, J.1
Jeanjean, L.2
Tanaka, K.3
-
13
-
-
3242882748
-
Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
-
D. Cao and E.-S. Noussair, Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations. J. Diff. Eq. 203 (2004) 292-312.
-
(2004)
J. Diff. Eq
, vol.203
, pp. 292-312
-
-
Cao, D.1
Noussair, E.-S.2
-
15
-
-
34247611775
-
On the Schrödinger equation involving a critical Sobolev exponent and magnetic field
-
J. Chabrowski and A. Szulkin, On the Schrödinger equation involving a critical Sobolev exponent and magnetic field. Topol. Methods Nonlinear Anal. 25 (2005) 3-21.
-
(2005)
Topol. Methods Nonlinear Anal
, vol.25
, pp. 3-21
-
-
Chabrowski, J.1
Szulkin, A.2
-
16
-
-
0037429353
-
Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field
-
S. Cingolani, Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field. J. Diff. Eq. 188 (2003) 52-79.
-
(2003)
J. Diff. Eq
, vol.188
, pp. 52-79
-
-
Cingolani, S.1
-
17
-
-
0033637770
-
Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
-
S. Cingolani and M. Lazzo, Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions. J. Diff. Eq. 160 (2000) 118-138.
-
(2000)
J. Diff. Eq
, vol.160
, pp. 118-138
-
-
Cingolani, S.1
Lazzo, M.2
-
18
-
-
33747045188
-
Multi-peaks periodic semiclassical states for a class of nonlinear Schrödinger equations
-
S. Cingolani and M. Nolasco, Multi-peaks periodic semiclassical states for a class of nonlinear Schrödinger equations. Proc. Royal Soc. Edinburgh 128 (1998) 1249-1260.
-
(1998)
Proc. Royal Soc. Edinburgh
, vol.128
, pp. 1249-1260
-
-
Cingolani, S.1
Nolasco, M.2
-
19
-
-
0036869089
-
Semiclassical limit for nonlinear Schr̈odinger equations with electromagnetic fields
-
S. Cingolani and S. Secchi, Semiclassical limit for nonlinear Schr̈odinger equations with electromagnetic fields. J. Math. Anal. Appl. 275 (2002) 108-130.
-
(2002)
J. Math. Anal. Appl
, vol.275
, pp. 108-130
-
-
Cingolani, S.1
Secchi, S.2
-
20
-
-
18844377921
-
Semiclassical states for NLS equations with magnetic potentials having polynomial growths
-
S. Cingolani and S. Secchi, Semiclassical states for NLS equations with magnetic potentials having polynomial growths. J. Math. Phys. 46 (2005) 1-19.
-
(2005)
J. Math. Phys
, vol.46
, pp. 1-19
-
-
Cingolani, S.1
Secchi, S.2
-
21
-
-
68549126309
-
Periodic solutions to a nonlinear Schrödinger equations with periodic magnetic field
-
Preprint
-
M. Clapp, R. Iturriaga and A. Szulkin, Periodic solutions to a nonlinear Schrödinger equations with periodic magnetic field. Preprint.
-
-
-
Clapp, M.1
Iturriaga, R.2
Szulkin, A.3
-
22
-
-
84968502322
-
Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials
-
V. Coti-Zelati and P.H. Rabinowitz, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials. J. Amer. Math. Soc. 4 (1991) 693-727.
-
(1991)
J. Amer. Math. Soc
, vol.4
, pp. 693-727
-
-
Coti-Zelati, V.1
Rabinowitz, P.H.2
-
24
-
-
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. Partial Differ. Equ. 4 (1996) 121-137.
-
(1996)
Calc. Var. Partial Differ. Equ
, vol.4
, pp. 121-137
-
-
Del Pino, M.1
Felmer, P.2
-
25
-
-
0031237479
-
Semi-classical states for nonlinear Schrödinger equations
-
M. Del Pino and P. Felmer, Semi-classical states for nonlinear Schrödinger equations. J. Funct. Anal. 149 (1997) 245-265.
-
(1997)
J. Funct. Anal
, vol.149
, pp. 245-265
-
-
Del Pino, M.1
Felmer, P.2
-
28
-
-
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. Anal. 69 (1986) 397-408.
-
(1986)
J. Funct. Anal
, vol.69
, pp. 397-408
-
-
Floer, A.1
Weinstein, A.2
-
29
-
-
0003259059
-
Elliptic Partial Differential Equations of Second Order
-
second edition, Springer, Berlin, Heidelberg, New York and Tokyo
-
D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, second edition, Grundlehren 224. Springer, Berlin, Heidelberg, New York and Tokyo (1983).
-
(1983)
Grundlehren
, vol.224
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
30
-
-
0000616123
-
Existence of multi-bump solutions for nonlinear Schrödinger equations
-
C. Gui, Existence of multi-bump solutions for nonlinear Schrödinger equations. Comm. Partial Diff. Eq. 21 (1996) 787-820.
-
(1996)
Comm. Partial Diff. Eq
, vol.21
, pp. 787-820
-
-
Gui, C.1
-
31
-
-
10944273602
-
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation
-
H. Hajaiej and C.A. Stuart, On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Advances Nonlinear Studies 4 (2004) 469-501.
-
(2004)
Advances Nonlinear Studies
, vol.4
, pp. 469-501
-
-
Hajaiej, H.1
Stuart, C.A.2
-
33
-
-
20144362610
-
A note on a mountain pass characterization of least energy solutions
-
L. Jeanjean and K. Tanaka, A note on a mountain pass characterization of least energy solutions. Advances Nonlinear Studies 3 (2003) 461-471.
-
(2003)
Advances Nonlinear Studies
, vol.3
, pp. 461-471
-
-
Jeanjean, L.1
Tanaka, K.2
-
34
-
-
7244258733
-
Singularly perturbed elliptic problems with superlinear or asympotically linear nonlinearities
-
L. Jeanjean and K. Tanaka, Singularly perturbed elliptic problems with superlinear or asympotically linear nonlinearities. Calc. Var. Partial Diff. Equ. 21 (2004) 287-318.
-
(2004)
Calc. Var. Partial Diff. Equ
, vol.21
, pp. 287-318
-
-
Jeanjean, L.1
Tanaka, K.2
-
35
-
-
0034251935
-
Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
-
K. Kurata, Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields. Nonlinear Anal. 41 (2000) 763-778.
-
(2000)
Nonlinear Anal
, vol.41
, pp. 763-778
-
-
Kurata, K.1
-
36
-
-
0000264842
-
On a singularly perturbed elliptic equation
-
Y.Y. Li, On a singularly perturbed elliptic equation. Adv. Diff. Equations 2 (1997) 955-980.
-
(1997)
Adv. Diff. Equations
, vol.2
, pp. 955-980
-
-
Li, Y.Y.1
-
37
-
-
85030719142
-
The concentration-compactness principle in the calculus of variations. The locally compact case. Part II
-
P.L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. Part II. Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984) 223-283.
-
(1984)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.1
, pp. 223-283
-
-
Lions, P.L.1
-
38
-
-
84946264643
-
Existence of semiclassical bound states of nonlinear Schrödinger equations
-
Y.G. Oh, Existence of semiclassical bound states of nonlinear Schrödinger equations. Comm. Partial Diff. Eq. 13 (1988) 1499-1519.
-
(1988)
Comm. Partial Diff. Eq
, vol.13
, pp. 1499-1519
-
-
Oh, Y.G.1
-
40
-
-
34249835055
-
On a class of nonlinear Schrödinger equations
-
P. Rabinowitz, On a class of nonlinear Schrödinger equations. Z. Angew. Math. Phys. 43 (1992) 270-291.
-
(1992)
Z. Angew. Math. Phys
, vol.43
, pp. 270-291
-
-
Rabinowitz, P.1
-
42
-
-
18644372297
-
On the location of spikes for the Schrödinger equations with electromagnetic field
-
S. Secchi and M. Squassina, On the location of spikes for the Schrödinger equations with electromagnetic field. Commun. Contemp. Math. 7 (2005) 251-268.
-
(2005)
Commun. Contemp. Math
, vol.7
, pp. 251-268
-
-
Secchi, S.1
Squassina, M.2
-
43
-
-
0000540347
-
Existence of solitary waves in higher dimensions
-
W. Strauss, Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55 (1977) 149-162.
-
(1977)
Comm. Math. Phys
, vol.55
, pp. 149-162
-
-
Strauss, W.1
-
45
-
-
0031511764
-
On concentration of positive bound states of nonlinear Schrödinger equation with competing potential functions
-
X. Wang and B. Zeng, On concentration of positive bound states of nonlinear Schrödinger equation with competing potential functions. SIAM J. Math. Anal. 28 (1997) 633-655.
-
(1997)
SIAM J. Math. Anal
, vol.28
, pp. 633-655
-
-
Wang, X.1
Zeng, B.2
|