Singularly perturbed nonlinear Neumann problems with a general nonlinearity

DOI10.1016/j.jde.2008.02.024zbMath1148.35028OpenAlexW2091310225MaRDI QIDQ924834

Jaeyoung Byeon

Publication date: 19 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.024

zbMATH Keywords

least energy solutionmountain pass solutionmean curvature functionperturbed nonlinear Neumann problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25)

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Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential, Spike layer solutions for a singularly perturbed Neumann problem: variational construction without a nondegeneracy, Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrödinger equations, Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems, Singularly perturbed nonlinear Dirichlet problems involving critical growth, Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents, Condensation phenomena of a least-energy solution to semilinear Neumann problems on piecewise smooth domains, Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki-Lions condition, Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem, Singularly perturbed nonlinear Neumann problems under the conditions of Berestycki and Lions, Unnamed Item, Bubbling on boundary submanifolds for a semilinear Neumann problem near high critical exponents

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