On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators

DOI10.4171/RLM/691zbMath1316.35127OpenAlexW2072699575MaRDI QIDQ2264059

Marco Degiovanni, Silvia Cingolani, Giuseppina Vannella

Publication date: 20 March 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/691

zbMATH Keywords

Morse index\(p\)-Laplace operator\(p\)-area operatorfunctionals with lack of smoothnesscritical polynomial

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Amann-Zehnder type results for \(p\)-Laplace problems, Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations, Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations, The Brezis-Nirenberg type problem for the \(p\)-Laplacian \((1 < p < 2)\): multiple positive solutions, Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory, Unnamed Item, Liouville type theorem for stable solutions to weighted quasilinear problems in \(\mathbb{R}^N \), Multiple positive solutions for a p-Laplace Benci–Cerami type problem (1 < p < 2), via Morse theory

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