Positive solutions of slightly supercritical elliptic equations in symmetric domains

DOI10.1016/j.anihpc.2003.09.004zbMath1149.35353OpenAlexW2084042167MaRDI QIDQ1886255

Donato Passaseo, Riccardo Molle

Publication date: 18 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_5_639_0

zbMATH Keywords

Supercritical problemsContractible domainsMulti-spike solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Multispike Solutions of Nonlinear Elliptic Equations with Critical Sobolev Exponent ⋮ Supercritical elliptic problems in domains with small holes ⋮ Sign-changing solutions for supercritical elliptic problems in domains with small holes ⋮ Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents ⋮ Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains ⋮ Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation ⋮ Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains ⋮ Nonexistence results for elliptic problems with supercritical growth in thin planar domains ⋮ Infinitely many positive solutions for an elliptic problem with critical or supercritical growth ⋮ The supercritical Lane-Emden equation and its gradient flow ⋮ 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 ⋮ Nonlinear elliptic equations with critical Sobolev exponent in nearly starshaped domains

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