-
1
-
-
3042688938
-
Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres. II
-
Ambrosetti, A.; Malchiodi, A.; Ni, W.-M. Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Indiana Univ. Math. J. 53 (2004), no. 2, 297-329.
-
(2004)
Indiana Univ. Math. J
, vol.53
, Issue.2
, pp. 297-329
-
-
Ambrosetti, A.1
Malchiodi, A.2
Ni, W.-M.3
-
2
-
-
0034687912
-
Equilibria with many nuclei for the Cahn-Hilliard equation
-
Bates, P. W.; Fusco, G. Equilibria with many nuclei for the Cahn-Hilliard equation. J. Differential Equations 160 (2000), no. 2, 283-356.
-
(2000)
J. Differential Equations
, vol.160
, Issue.2
, pp. 283-356
-
-
Bates, P.W.1
Fusco, G.2
-
3
-
-
84894599571
-
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability
-
Bates, P. W.; Dancer, E. N.; Shi, J. Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Adv. Differential Equations 4 (1999), no. 1, 1-69.
-
(1999)
Adv. Differential Equations
, vol.4
, Issue.1
, pp. 1-69
-
-
Bates, P.W.1
Dancer, E.N.2
Shi, J.3
-
5
-
-
0000650326
-
Multipeak solutions for a singularly perturbed Neumann problem
-
Dancer, E. N.; Yan, S. Multipeak solutions for a singularly perturbed Neumann problem. Pacific J. Math. 189 (1999), no. 2, 241-262.
-
(1999)
Pacific J. Math
, vol.189
, Issue.2
, pp. 241-262
-
-
Dancer, E.N.1
Yan, S.2
-
6
-
-
0001663580
-
Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
-
del Pino, M.; Felmer, P. L. Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting. Indiana Univ. Math. J. 48 (1999), no. 3, 883-898.
-
(1999)
Indiana Univ. Math. J
, vol.48
, Issue.3
, pp. 883-898
-
-
del Pino, M.1
Felmer, P.L.2
-
7
-
-
0033233496
-
-
del Pino, M.; Felmer, P. L.; Wei, J.-C. On the role of mean curvature in some singularly perturbed Neumann problems. SIAM J. Math. Anal. 31 (1999), no. 1, 63-79 (electronic).
-
del Pino, M.; Felmer, P. L.; Wei, J.-C. On the role of mean curvature in some singularly perturbed Neumann problems. SIAM J. Math. Anal. 31 (1999), no. 1, 63-79 (electronic).
-
-
-
-
8
-
-
0038160126
-
Multi-peak solutions for some singular perturbation problems
-
del Pino, M.; Felmer, P. L.; Wei, J.-C. Multi-peak solutions for some singular perturbation problems. Calc. Var. Partial Differential Equations 10 (2000), no. 2, 119-134.
-
(2000)
Calc. Var. Partial Differential Equations
, vol.10
, Issue.2
, pp. 119-134
-
-
del Pino, M.1
Felmer, P.L.2
Wei, J.-C.3
-
9
-
-
0041029478
-
On the role of distance function in some singular perturbation problems
-
del Pino, M.; Felmer, P. L.; Wei, J.-C. On the role of distance function in some singular perturbation problems. Comm. Partial Differential Equations 25 (2000), no. 1-2, 155-177.
-
(2000)
Comm. Partial Differential Equations
, vol.25
, Issue.1-2
, pp. 155-177
-
-
del Pino, M.1
Felmer, P.L.2
Wei, J.-C.3
-
10
-
-
33846280379
-
-
n. Mathematical analysis and applications, Part A, pp. 369-402. Adv. in Math. Suppl. Stud., 7a. Academic Press, New York-London, 1981.
-
n. Mathematical analysis and applications, Part A, pp. 369-402. Adv. in Math. Suppl. Stud., 7a. Academic Press, New York-London, 1981.
-
-
-
-
11
-
-
0015454185
-
A theory of biological pattern formation
-
Gierer, A.; Meinhardt, H. 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
-
12
-
-
0003226251
-
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
-
Grossi, M.; Pistoia, A.; Wei, J. Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory. Calc. Var. Partial Differential Equations 11 (2000), no. 2, 143-175.
-
(2000)
Calc. Var. Partial Differential Equations
, vol.11
, Issue.2
, pp. 143-175
-
-
Grossi, M.1
Pistoia, A.2
Wei, J.3
-
13
-
-
0002610597
-
Multiple interior peak solutions for some singularly perturbed Neumann problems
-
Gui, C.; Wei, J. Multiple interior peak solutions for some singularly perturbed Neumann problems. J. Differential Equations 158 (1999), no. 1, 1-27.
-
(1999)
J. Differential Equations
, vol.158
, Issue.1
, pp. 1-27
-
-
Gui, C.1
Wei, J.2
-
14
-
-
0034380572
-
On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems
-
Gui, C.; Wei, J.-C. On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems. Canad. J. Math. 52 (2000), no. 3, 522-538.
-
(2000)
Canad. J. Math
, vol.52
, Issue.3
, pp. 522-538
-
-
Gui, C.1
Wei, J.-C.2
-
15
-
-
0002025752
-
Multiple boundary peak solutions for some singularly perturbed Neumann problems
-
Gui, C.; Wei, J.-C.; Winter, M. Multiple boundary peak solutions for some singularly perturbed Neumann problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 47-82.
-
(2000)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.17
, Issue.1
, pp. 47-82
-
-
Gui, C.1
Wei, J.-C.2
Winter, M.3
-
16
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
Keller, E. F.; Segel, L. A. Initiation of slime mold aggregation viewed as an instability. J. Theor. Biol. 26 (1970), 399-415.
-
(1970)
J. Theor. Biol
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
18
-
-
84972508309
-
Uniqueness of the positive solution of Δu + f(u) = 0 in an annulus
-
Kwong, M. K.; Zhang, L. Q. Uniqueness of the positive solution of Δu + f(u) = 0 in an annulus. Differential Integral Equations 4 (1991), no. 3, 583-599.
-
(1991)
Differential Integral Equations
, vol.4
, Issue.3
, pp. 583-599
-
-
Kwong, M.K.1
Zhang, L.Q.2
-
19
-
-
0000984635
-
On a singularly perturbed equation with Neumann boundary condition
-
Li, Y. Y. On a singularly perturbed equation with Neumann boundary condition. Comm. Partial Differential Equations 23 (1998), no. 3-4, 487-545.
-
(1998)
Comm. Partial Differential Equations
, vol.23
, Issue.3-4
, pp. 487-545
-
-
Li, Y.Y.1
-
20
-
-
0032348339
-
The Dirichlet problem for singularly perturbed elliptic equations
-
Li, Y. Y.; Nirenberg, L. The Dirichlet problem for singularly perturbed elliptic equations. Comm. Pure Appl. Math. 51 (1998), no. 11-12, 1445-1490.
-
(1998)
Comm. Pure Appl. Math
, vol.51
, Issue.11-12
, pp. 1445-1490
-
-
Li, Y.Y.1
Nirenberg, L.2
-
21
-
-
0002542873
-
Large amplitude stationary solutions to a chemotaxis system
-
Lin, C.-S.; Ni, W.-M.; Takagi, I. Large amplitude stationary solutions to a chemotaxis system. J. Differential Equations 72 (1988), no. 1, 1-27.
-
(1988)
J. Differential Equations
, vol.72
, Issue.1
, pp. 1-27
-
-
Lin, C.-S.1
Ni, W.-M.2
Takagi, I.3
-
22
-
-
2342426479
-
Solutions concentrating at curves for some singularly perturbed elliptic problems
-
Malchiodi, A. Solutions concentrating at curves for some singularly perturbed elliptic problems. C. R. Math. Acad. Sci. Paris 338 (2004), no. 10, 775-780.
-
(2004)
C. R. Math. Acad. Sci. Paris
, vol.338
, Issue.10
, pp. 775-780
-
-
Malchiodi, A.1
-
23
-
-
0036425683
-
Boundary concentration phenomena for a singularly perturbed elliptic problem
-
Malchiodi, A.; Montenegro, M. Boundary concentration phenomena for a singularly perturbed elliptic problem. Comm. Pure Appl. Math. 55 (2002), no. 12, 1507-1568.
-
(2002)
Comm. Pure Appl. Math
, vol.55
, Issue.12
, pp. 1507-1568
-
-
Malchiodi, A.1
Montenegro, M.2
-
24
-
-
4043167077
-
Multidimensional boundary layers for a singularly perturbed Neumann problem
-
Malchiodi, A.; Montenegro, M. Multidimensional boundary layers for a singularly perturbed Neumann problem. Duke Math. J. 124 (2004), no. 1, 105-143.
-
(2004)
Duke Math. J
, vol.124
, Issue.1
, pp. 105-143
-
-
Malchiodi, A.1
Montenegro, M.2
-
25
-
-
13844306817
-
Multiple clustered layer solutions for semilinear Neumann problems on a ball
-
Malchiodi, A.; Ni, W.-M.; Wei, J.-C. Multiple clustered layer solutions for semilinear Neumann problems on a ball. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 2, 143-163.
-
(2005)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.22
, Issue.2
, pp. 143-163
-
-
Malchiodi, A.1
Ni, W.-M.2
Wei, J.-C.3
-
26
-
-
0003002827
-
Diffusion, cross-diffusion, and their spike-layer steady states
-
Ni, W.-M. Diffusion, cross-diffusion, and their spike-layer steady states. Notices Amer. Math. Soc. 45 (1998), no. 1, 9-18.
-
(1998)
Notices Amer. Math. Soc
, vol.45
, Issue.1
, pp. 9-18
-
-
Ni, W.-M.1
-
27
-
-
84990581933
-
On the shape of least-energy solutions to a semilinear Neumann problem
-
Ni, W.-M.; Takagi, I. On the shape of least-energy solutions to a semilinear Neumann problem. Comm. Pure Appl. Math. 44 (1991), no. 7, 819-851.
-
(1991)
Comm. Pure Appl. Math
, vol.44
, Issue.7
, pp. 819-851
-
-
Ni, W.-M.1
Takagi, I.2
-
28
-
-
84971179248
-
Locating the peaks of least-energy solutions to a semilinear Neumann problem
-
Ni, W.-M.; Takagi, I. Locating the peaks of least-energy solutions to a semilinear Neumann problem. Duke Math. J. 70 (1993), no. 2, 247-281.
-
(1993)
Duke Math. J
, vol.70
, Issue.2
, pp. 247-281
-
-
Ni, W.-M.1
Takagi, I.2
-
29
-
-
0000483708
-
On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions
-
Ni, W.-M.; Takagi, I.; Wei, J.-C. On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: intermediate solutions. Duke Math. J. 94 (1998), no. 3, 597-618.
-
(1998)
Duke Math. J
, vol.94
, Issue.3
, pp. 597-618
-
-
Ni, W.-M.1
Takagi, I.2
Wei, J.-C.3
-
30
-
-
84990662413
-
On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
-
Ni, W.-M.; Wei, J.-C. On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Comm. Pure Appl. Math. 48 (1995), no. 7, 731-768.
-
(1995)
Comm. Pure Appl. Math
, vol.48
, Issue.7
, pp. 731-768
-
-
Ni, W.-M.1
Wei, J.-C.2
-
31
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing, A. M. The chemical basis of morphogenesis. Phil. Trans. Roy. Soc. Lond. B 237 (1952), 37-72.
-
(1952)
Phil. Trans. Roy. Soc. Lond. B
, vol.237
, pp. 37-72
-
-
Turing, A.M.1
-
32
-
-
0030578649
-
On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
-
Wei, J.-C. On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem. J. Differential Equations 129 (1996), no. 2, 315-333.
-
(1996)
J. Differential Equations
, vol.129
, Issue.2
, pp. 315-333
-
-
Wei, J.-C.1
-
33
-
-
0031562011
-
On the boundary spike layer solutions to a singularly perturbed Neumann problem
-
Wei, J.-C. On the boundary spike layer solutions to a singularly perturbed Neumann problem. J. Differential Equations 134 (1997), no. 1, 104-133.
-
(1997)
J. Differential Equations
, vol.134
, Issue.1
, pp. 104-133
-
-
Wei, J.-C.1
-
34
-
-
0032398054
-
On the interior spike layer solutions to a singularly perturbed Neumann problem
-
Wei, J.-C. On the interior spike layer solutions to a singularly perturbed Neumann problem. Tohoku Math. J. (2) 50 (1998), no. 2, 159-178.
-
(1998)
Tohoku Math. J. (2)
, vol.50
, Issue.2
, pp. 159-178
-
-
Wei, J.-C.1
-
35
-
-
6344223915
-
On the effect of domain geometry in singular perturbation problems
-
Wei, J.-C. On the effect of domain geometry in singular perturbation problems. Differential Integral Equations 13 (2000), no. 1-3, 15-45.
-
(2000)
Differential Integral Equations
, vol.13
, Issue.1-3
, pp. 15-45
-
-
Wei, J.-C.1
-
36
-
-
0000585101
-
Stationary solutions for the Cahn-Hilliard equation. (English. English, French summary)
-
Wei, J.-C.; Winter, M. Stationary solutions for the Cahn-Hilliard equation. (English. English, French summary) Ann. Inst. H. Poincaré Anal Non Linéaire 15 (1998), no. 4, 459-492.
-
(1998)
Ann. Inst. H. Poincaré Anal Non Linéaire
, vol.15
, Issue.4
, pp. 459-492
-
-
Wei, J.-C.1
Winter, M.2
-
37
-
-
0000068099
-
Multi-peak solutions for a wide class of singular perturbation problems
-
Wei, J.-C.; Winter, M. Multi-peak solutions for a wide class of singular perturbation problems. J. London Math. Soc. (2) 59 (1999), no. 2, 585-606.
-
(1999)
J. London Math. Soc. (2)
, vol.59
, Issue.2
, pp. 585-606
-
-
Wei, J.-C.1
Winter, M.2
|