A singularly perturbed elliptic problem involving supercritical Sobolev exponent

DOI10.1017/S030821050002179XzbMath0907.35049MaRDI QIDQ4212400

Shusen Yan, Yao-Tian Shen

Publication date: 15 February 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-upregular part of the Green function

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)

Related Items (1)

Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II: The nonradial case
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

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