Solutions, concentrating on spheres, to symmetric singularly perturbed problems

DOI10.1016/S1631-073X(02)02414-7zbMath1072.35068MaRDI QIDQ699224

Andrea Malchiodi, Antonio Ambrosetti, Wei-Ming Ni

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

radial solutionssingular perturbationselliptic equationssolutions concentrated on a sphere

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items (4)

Multidimensional boundary layers for a singularly perturbed Neumann problem ⋮ Partial localization, lipid bilayers, and the elastica functional ⋮ Multi-layer solutions for an elliptic problem. ⋮ Semi-classical limit for radial nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Semiclassical states of nonlinear Schrödinger equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• Variational perturbative methods and bifurcation of bound states from the essential spectrum
• Boundary concentration phenomena for a singularly perturbed elliptic problem
• Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• Multiplicity results for some nonlinear Schrödinger equations with potentials

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