Solutions concentrating at curves for some singularly perturbed elliptic problems
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Publication:1876849
DOI10.1016/j.crma.2004.03.023zbMath1081.35044OpenAlexW2087240963MaRDI QIDQ1876849
Publication date: 20 August 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.023
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25)
Related Items (14)
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers ⋮ Concentration on curves for a Neumann Ambrosetti-Prodi-type problem in two-dimensional domains ⋮ On Ambrosetti-Malchiodi-Ni Conjecture on two-dimensional smooth bounded domains ⋮ Concentration phenomena of solutions for some singularly perturbed elliptic equations ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Concentration on surfaces for a singularly perturbed Neumann problem in three-dimensional domains ⋮ An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem ⋮ Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field ⋮ LAYERED SOLUTIONS WITH CONCENTRATION ON LINES IN THREE-DIMENSIONAL DOMAINS ⋮ Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit ⋮ On the number of interior peak solutions for a singularly perturbed Neumann problem ⋮ Concentration on curves for nonlinear Schrödinger Equations
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