Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

DOI10.1016/j.crma.2006.07.010zbMath1217.35068OpenAlexW1977356402MaRDI QIDQ2504716

Shusen Yan, Wei, Juncheng

Publication date: 28 September 2006

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.2006.07.010

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items

Multi-layer radial solutions for a supercritical Neumann problem, Solutions with clustered bubbles and a boundary layer of an elliptic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem.
• Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
• The question of interior blow-up points for an elliptic Neumann problem: the critical case.
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• Multiple clustered layer solutions for semilinear Neumann problems on a ball
• Multidimensional boundary layers for a singularly perturbed Neumann problem
• Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: \(N=3\)
• Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
• Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: \(N\geqslant 4\)
• On the number of interior peak solutions for a singularly perturbed Neumann problem
• On neumann problems for semilinear elliptic equations with critical nonlinearity:existance and symmetry of multi—peaked solutions¹
• On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
• AN ELLIPTIC NEUMANN PROBLEM WITH CRITICAL NONLINEARITY IN THREE DIMENSIONAL DOMAINS