-
1
-
-
84980075953
-
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I
-
MR 0125307
-
S. AGMON, A. DOUGLIS, and L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math. 12 (1959), 623-727. MR 0125307
-
(1959)
Comm. Pure Appl. Math.
, vol.12
, pp. 623-727
-
-
Agmon, S.1
Douglis, A.2
Nirenberg, L.3
-
2
-
-
0013434847
-
Homoclinics: Poincaré-Melnikov type results via a variational approach
-
MR 1614571
-
A. AMBROSETTI and M. BADIALE, Homoclinics: Poincaré-Melnikov type results via a variational approach, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), 233-252. MR 1614571
-
(1998)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.15
, pp. 233-252
-
-
Ambrosetti, A.1
Badiale, M.2
-
3
-
-
0031313734
-
Semiclassical states of nonlinear Schrödinger equations
-
MR 1486895
-
A. AMBROSETTI, M. BADIALE, and S. CINGOLANI, Semiclassical states of nonlinear Schrödinger equations, Arch. Rational Mech. Anal. 140 (1997), 285-300. MR 1486895
-
(1997)
Arch. Rational Mech. Anal.
, vol.140
, pp. 285-300
-
-
Ambrosetti, A.1
Badiale, M.2
Cingolani, S.3
-
4
-
-
0037512306
-
Solutions, concentrating on spheres, to symmetric singularly perturbed problems
-
MR 1920010
-
A. AMBROSETTI, A. MALCHIODI, and W.-M. NI, Solutions, concentrating on spheres, to symmetric singularly perturbed problems, C. R. Math. Acad. Sci. Paris 335 (2002), 145-150. MR 1920010
-
(2002)
C. R. Math. Acad. Sci. Paris
, vol.335
, pp. 145-150
-
-
Ambrosetti, A.1
Malchiodi, A.2
Ni, W.-M.3
-
5
-
-
0038609648
-
Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, I
-
MR 1974510
-
_, Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, I, Comm. Math. Phys. 235 (2003), 427-466. MR 1974510
-
(2003)
Comm. Math. Phys.
, vol.235
, pp. 427-466
-
-
-
6
-
-
4043096820
-
Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, II
-
to appear in
-
_, Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, II, to appear in Indiana Univ. Math. J.
-
Indiana Univ. Math. J.
-
-
-
7
-
-
0040435197
-
Multiplicity results for some nonlinear Schrödinger equations with potentials
-
MR 1857674
-
A. AMBROSETTI, A. MALCHIODI, and S. SECCHI, Multiplicity results for some nonlinear Schrödinger equations with potentials, Arch. Ration. Mech. Anal. 159 (2001), 253-271. MR 1857674
-
(2001)
Arch. Ration. Mech. Anal.
, vol.159
, pp. 253-271
-
-
Ambrosetti, A.1
Malchiodi, A.2
Secchi, S.3
-
8
-
-
0036604518
-
Concentration around a sphere for a singularly perturbed Schrödinger equation
-
MR 1895538
-
M. BADIALE and T. D'APRILE, Concentration around a sphere for a singularly perturbed Schrödinger equation, Nonlinear Anal. Ser. A: Theory Methods 49 (2002), 947-985. MR 1895538
-
(2002)
Nonlinear Anal. Ser. A: Theory Methods
, vol.49
, pp. 947-985
-
-
Badiale, M.1
D'Aprile, T.2
-
9
-
-
0344430867
-
A nonexistence result for Yamabe type problems on thin annuli
-
MR 1922475
-
M. BEN AYED, K. EL MEHDI, and M. HAMMAMI, A nonexistence result for Yamabe type problems on thin annuli, Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), 715-744. MR 1922475
-
(2002)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.19
, pp. 715-744
-
-
Ben Ayed, M.1
Mehdi, K.E.L.2
Hammami, M.3
-
10
-
-
0036752380
-
The semiclassical limit of the nonlinear Schrödinger equation in a radial potential
-
MR 1929149
-
V. BENCI and T. D'APRILE, The semiclassical limit of the nonlinear Schrödinger equation in a radial potential, J. Differential Equations 184 (2002), 109-138. MR 1929149
-
(2002)
J. Differential Equations
, vol.184
, pp. 109-138
-
-
Benci, V.1
D'Aprile, T.2
-
13
-
-
0003333796
-
Riemannian Geometry - A Modern Introduction
-
Cambridge Univ. Press, Cambridge, MR 1271141
-
I. CHAVEL, Riemannian Geometry - A Modern Introduction, Cambridge Tracts in Math. 108, Cambridge Univ. Press, Cambridge, 1993. MR 1271141
-
(1993)
Cambridge Tracts in Math.
, vol.108
-
-
Chavel, I.1
-
14
-
-
1842765581
-
Nonexistence of single blow-up solutions for a nonlinear Schrödinger equation involving critical Sobolev exponent
-
MR 2047283
-
S. CINGOLANI and A. PISTOIA, Nonexistence of single blow-up solutions for a nonlinear Schrödinger equation involving critical Sobolev exponent, Z. Angew. Math. Phys. 55 (2004), 201-215. MR 2047283
-
(2004)
Z. Angew. Math. Phys.
, vol.55
, pp. 201-215
-
-
Cingolani, S.1
Pistoia, A.2
-
16
-
-
4043081156
-
n or on bounded domains with small diffusion
-
to appear in
-
n or on bounded domains with small diffusion, to appear in Trans. Amer. Math. Soc.
-
Trans. Amer. Math. Soc.
-
-
-
17
-
-
0000650326
-
Multipeak solutions for a singularly perturbed Neumann problem
-
MR 1696122
-
E. N. DANCER and S. YAN, Multipeak solutions for a singularly perturbed Neumann problem, Pacific J. Math. 189 (1999), 241-262. MR 1696122
-
(1999)
Pacific J. Math.
, vol.189
, pp. 241-262
-
-
Dancer, E.N.1
Yan, S.2
-
18
-
-
2342426289
-
On a class of solutions with non-vanishing angular momentum for nonlinear Schrödinger equations
-
MR 1947957
-
T. D'APRILE, On a class of solutions with non-vanishing angular momentum for nonlinear Schrödinger equations, Differential Integral Equations 16 (2003), 349-384. MR 1947957
-
(2003)
Differential Integral Equations
, vol.16
, pp. 349-384
-
-
D'Aprile, T.1
-
19
-
-
4043076880
-
Boundary spikes in the Gierer-Meinhardt system
-
MR 1942277
-
M. DEL PINO, P. FELMER, and M. KOWALCZYK, Boundary spikes in the Gierer-Meinhardt system, Commun. Pure Appl. Anal. 1 (2002), 437-456. MR 1942277
-
(2002)
Commun. Pure Appl. Anal.
, vol.1
, pp. 437-456
-
-
Del Pino, M.1
Felmer, P.2
Kowalczyk, M.3
-
20
-
-
0033233496
-
On the role of mean curvature in some singularly perturbed Neumann problems
-
MR 1742305
-
M. DEL PINO, P. FELMER, and J. WEI, On the role of mean curvature in some singularly perturbed Neumann problems, SIAM J. Math. Anal. 31 (1999), 63-79. MR 1742305
-
(1999)
SIAM J. Math. Anal.
, vol.31
, pp. 63-79
-
-
Del Pino, M.1
Felmer, P.2
Wei, J.3
-
21
-
-
0001613187
-
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
-
MR 0867665
-
A. FLOER and A. WEINSTEIN, Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential, J. Funct. Anal. 69 (1986), 397-408. MR 0867665
-
(1986)
J. Funct. Anal.
, vol.69
, pp. 397-408
-
-
Floer, A.1
Weinstein, A.2
-
22
-
-
0015454185
-
A theory of biological pattern formation
-
A. GIERER and H. MEINHARDT, A theory of biological pattern formation, Kybernetik (Berlin) 12 (1972), 30-39.
-
(1972)
Kybernetik (Berlin)
, vol.12
, pp. 30-39
-
-
Gierer, A.1
Meinhardt, H.2
-
23
-
-
0003304216
-
Elliptic partial differential equations of second order
-
Springer, Berlin, MR 0473443
-
D. GILBARG and N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss. 224, Springer, Berlin, 1977. MR 0473443
-
(1977)
Grundlehren Math. Wiss.
, vol.224
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
24
-
-
0003226251
-
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
-
MR 1782991
-
M. GROSSI, A. PISTOIA, and J. WEI, Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory, Calc. Var. Partial Differential Equations 11 (2000), 143-175. MR 1782991
-
(2000)
Calc. Var. Partial Differential Equations
, vol.11
, pp. 143-175
-
-
Grossi, M.1
Pistoia, A.2
Wei, J.3
-
25
-
-
0000860177
-
Multipeak solutions for a semilinear Neumann problem
-
MR 1408543
-
C. GUI, Multipeak solutions for a semilinear Neumann problem, Duke Math. J. 84 (1996), 739-769. MR 1408543
-
(1996)
Duke Math. J.
, vol.84
, pp. 739-769
-
-
Gui, C.1
-
26
-
-
0034380572
-
On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems
-
MR 1758231
-
C. GUI and J. WEI, On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems, Canad. J. Math. 52 (2000), 522-538. MR 1758231
-
(2000)
Canad. J. Math.
, vol.52
, pp. 522-538
-
-
Gui, C.1
Wei, J.2
-
27
-
-
0002025752
-
Multiple boundary peak solutions for some singularly perturbed Neumann problems
-
MR 1743431
-
C. GUI, J. WEI, and M. WINTER, Multiple boundary peak solutions for some singularly perturbed Neumann problems, Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), 47-82. MR 1743431
-
(2000)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.17
, pp. 47-82
-
-
Gui, C.1
Wei, J.2
Winter, M.3
-
28
-
-
0035277877
-
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
-
MR 1818735
-
D. IRON, M. J. WARD, and J. WEI, The stability of spike solutions to the one-dimensional Gierer-Meinhardt model, Phys. D 150 (2001), 25-62. MR 1818735
-
(2001)
Phys. D
, vol.150
, pp. 25-62
-
-
Iron, D.1
Ward, M.J.2
Wei, J.3
-
29
-
-
0003862232
-
Perturbation theory for linear operators, 2nd ed.
-
Springer, Berlin, MR 0407617
-
T. KATO, Perturbation Theory for Linear Operators, 2nd ed., Grundlehren Math. Wiss. 132, Springer, Berlin, 1976. MR 0407617
-
(1976)
Grundlehren Math. Wiss.
, vol.132
-
-
Kato, T.1
-
30
-
-
0000984635
-
On a singularly perturbed equation with Neumann boundary condition
-
MR 1620632
-
Y. Y. LI, On a singularly perturbed equation with Neumann boundary condition, Comm. Partial Differential Equations 23 (1998), 487-545. MR 1620632
-
(1998)
Comm. Partial Differential Equations
, vol.23
, pp. 487-545
-
-
Li, Y.Y.1
-
31
-
-
0032348339
-
The Dirichlet problem for singularly perturbed elliptic equations
-
MR 1639159
-
Y. LI and L. NIRENBERG, The Dirichlet problem for singularly perturbed elliptic equations, Comm. Pure Appl. Math. 51 (1998), 1445-1490. MR 1639159
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 1445-1490
-
-
Li, Y.1
Nirenberg, L.2
-
32
-
-
0002542873
-
Large amplitude stationary solutions to a chemotaxis system
-
MR 0929196
-
C.-S. LIN, W.-M. NI, and I. TAKAGI, Large amplitude stationary solutions to a chemotaxis system, J. Differential Equations 72 (1988), 1-27. MR 0929196
-
(1988)
J. Differential Equations
, vol.72
, pp. 1-27
-
-
Lin, C.-S.1
Ni, W.-M.2
Takagi, I.3
-
34
-
-
0036425683
-
Boundary concentration phenomena for a singularly perturbed elliptic problem
-
MR 1923818
-
A. MALCHIODI and M. MONTENEGRO, Boundary concentration phenomena for a singularly perturbed elliptic problem, Comm. Pure Appl. Math. 55 (2002), 1507-1568. MR 1923818
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, pp. 1507-1568
-
-
Malchiodi, A.1
Montenegro, M.2
-
35
-
-
0003002827
-
Diffusion, cross-diffusion, and their spike-layer steady states
-
MR 1490535
-
W.-M. NI, Diffusion, cross-diffusion, and their spike-layer steady states, Notices Amer. Math. Soc. 45 (1998), 9-18. MR 1490535
-
(1998)
Notices Amer. Math. Soc.
, vol.45
, pp. 9-18
-
-
Ni, W.-M.1
-
36
-
-
84990581933
-
On the shape of least-energy solutions to a semilinear Neumann problem
-
MR 1115095
-
W.-M. NI and I. TAKAGI, On the shape of least-energy solutions to a semilinear Neumann problem, Comm. Pure Appl. Math. 44 (1991), 819-851. MR 1115095
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 819-851
-
-
Ni, W.-M.1
Takagi, I.2
-
37
-
-
84971179248
-
Locating the peaks of least-energy solutions to a semilinear Neumann problem
-
MR 1219814
-
_, Locating the peaks of least-energy solutions to a semilinear Neumann problem, Duke Math. J. 70 (1993), 247-281. MR 1219814
-
(1993)
Duke Math. J.
, vol.70
, pp. 247-281
-
-
-
38
-
-
0038506579
-
Stability of least energy patterns of the shadow system for an activator-inhibitor model
-
Recent Topics in Mathematics Moving Toward Science and Engineering, MR 1842911
-
W.-M. NI, I. TAKAGI, and E. YANAGIDA, "Stability of least energy patterns of the shadow system for an activator-inhibitor model" in Recent Topics in Mathematics Moving Toward Science and Engineering, Japan J. Indust. Appl. Math. 18 (2001), 259-272. MR 1842911
-
(2001)
Japan J. Indust. Appl. Math.
, vol.18
, pp. 259-272
-
-
Ni, W.-M.1
Takagi, I.2
Yanagida, E.3
-
39
-
-
0000998584
-
On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
-
MR 1065671
-
Y. G. OH, On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential, Comm. Math. Phys. 131 (1990), 223-253. MR 1065671
-
(1990)
Comm. Math. Phys.
, vol.131
, pp. 223-253
-
-
Oh, Y.G.1
-
41
-
-
0037059109
-
Periodic solutions for Hamiltonian systems under strong constraining forces
-
MR 1942222
-
J. SHATAH and C. ZENG, Periodic solutions for Hamiltonian systems under strong constraining forces, J. Differential Equations 186 (2002), 572-585. MR 1942222
-
(2002)
J. Differential Equations
, vol.186
, pp. 572-585
-
-
Shatah, J.1
Zeng, C.2
-
42
-
-
0036701115
-
Semilinear Neumann boundary value problems on a rectangle
-
MR 1897394
-
J. SHI, Semilinear Neumann boundary value problems on a rectangle, Trans. Amer. Math. Soc. 354 (2002), 3117-3154. MR 1897394
-
(2002)
Trans. Amer. Math. Soc.
, vol.354
, pp. 3117-3154
-
-
Shi, J.1
-
44
-
-
21144478287
-
On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
-
MR 1185568
-
Z. Q. WANG, On the existence of multiple, single-peaked solutions for a semilinear Neumann problem, Arch. Rational Mech. Anal. 120 (1992), 375-399. MR 1185568
-
(1992)
Arch. Rational Mech. Anal.
, vol.120
, pp. 375-399
-
-
Wang, Z.Q.1
-
45
-
-
0031562011
-
On the boundary spike layer solutions to a singularly perturbed Neumann problem
-
MR 1429093
-
J. WEI, On the boundary spike layer solutions to a singularly perturbed Neumann problem, J. Differential Equations 134 (1997), 104-133. MR 1429093
-
(1997)
J. Differential Equations
, vol.134
, pp. 104-133
-
-
Wei, J.1
|