Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II

DOI10.1016/j.jde.2010.02.014zbMath1195.35143OpenAlexW2003931258MaRDI QIDQ984895

Shuangjie Peng, Thomas J. Bartsch

Publication date: 20 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.02.014

zbMATH Keywords

variational methodscritical point theorysingularly perturbed elliptic equationconcentrating solutionsspike layered solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (6)

On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers ⋮ On Ambrosetti-Malchiodi-Ni Conjecture on two-dimensional smooth bounded domains ⋮ A new type of solutions for a singularly perturbed elliptic Neumann problem ⋮ Perturbative techniques for the construction of spike-layers ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth ⋮ Curve-like concentration for Bose-Einstein condensates

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