A new proof of the boundedness results for stable solutions to semilinear elliptic equations

DOI10.3934/dcds.2019302zbMath1425.35095arXiv1907.05253OpenAlexW2978400913WikidataQ127184913 ScholiaQ127184913MaRDI QIDQ2335364

Xavier Cabré

Publication date: 14 November 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05253

zbMATH Keywords

semilinear elliptic equationsboundedness of solutionsstable solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57)

Related Items (6)

Boundedness of stable solutions to nonlinear equations involving the \(p\)-Laplacian ⋮ Stable solutions to semilinear elliptic equations for operators with variable coefficients ⋮ Decomposition of polyharmonic operator and classification of homogeneous stable solutions ⋮ Optimal regularity of stable solutions to nonlinear equations involving the \(p\)-Laplacian ⋮ ESTIMATES AND RIGIDITY FOR STABLE SOLUTIONS TO SOME NONLINEAR ELLIPTIC PROBLEMS ⋮ Universal Hardy–Sobolev inequalities on hypersurfaces of Euclidean space

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