Positive solutions for slightly super-critical elliptic equations in contractible domains

DOI10.1016/S1631-073X(02)02502-5zbMath1010.35043MaRDI QIDQ1854677

Donato Passaseo, Riccardo Molle

Publication date: 6 February 2003

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

zbMATH Keywords

blow-up pointsconcentration phenomenadomains with radial symmetry

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (11)

Multi-bubble solutions for a slightly supercritical elliptic problem in a domain with a small hole ⋮ Positive solutions of slightly supercritical elliptic equations in symmetric domains ⋮ Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains ⋮ Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains ⋮ Nonexistence results for elliptic problems with supercritical growth in thin planar domains ⋮ Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth ⋮ Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case ⋮ Multiple solutions of supercritical elliptic problems in perturbed domains ⋮ Concentration phenomena for solutions of superlinear elliptic problems ⋮ Nonlinear elliptic equations with large supercritical exponents ⋮ Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem

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• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Remarks on some quasilinear elliptic equations

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