A new type of concentration solutions for a singularly perturbed elliptic problem
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Publication:3420379
DOI10.1090/S0002-9947-06-04386-8zbMath1193.35072OpenAlexW2026888527MaRDI QIDQ3420379
Publication date: 1 February 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04386-8
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Theoretical approximation in context of PDEs (35A35) Positive solutions to PDEs (35B09)
Related Items (15)
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 on minimal submanifolds for a singularly perturbed Neumann problem ⋮ Double- and single-layered sign-changing solutions to a singularly perturbed elliptic equation concentrating at a single sphere ⋮ A new type of solutions for a singularly perturbed elliptic Neumann problem ⋮ Entire solutions of autonomous equations on \(\mathbb{R}^n\) with nontrivial asymptotics ⋮ Concentrating solutions of some singularly perturbed elliptic equations ⋮ New classes of entire solutions for semilinear elliptic problems in \(\mathbb R^{n}\) ⋮ Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II ⋮ Solutions to the nonlinear Schrödinger equation carrying momentum along a curve ⋮ Concentration of Solutions for Some Singularly Perturbed Neumann Problems ⋮ Peak solutions for the fractional Nirenberg problem ⋮ Curve-like concentration for Bose-Einstein condensates ⋮ Positive solutions for a class of elliptic systems with singular potentials
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