Solutions of super-linear elliptic equations and their Morse indices

DOI10.1134/S0001434621050096zbMath1468.35055arXiv2007.10838OpenAlexW3181795130MaRDI QIDQ2037724

Foued Mtiri

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10838

zbMATH Keywords

\(m\)-polyharmonic equationbounds for weak solutions

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30)

Cites Work

• On the Palais-Smale condition
• A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems
• Nodal sets and Morse indices of solutions of super-linear elliptic PDEs
• Explicit \(L^\infty\)-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems
• Morse indices of solutions for super-linear elliptic PDE's
• High-order Bahri-Lions Liouville-type theorems
• \(L^\infty \)-norm estimates of weak solutions via their Morse indices for the \(m\)-Laplacian problems
• Solutions of superlinear elliptic equations and their morse indices

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