A model of capillary phenomena in \(\mathbb{R}^N\) with subcritical growth

DOI10.4171/RLM/894zbMath1447.35143MaRDI QIDQ2192702

Calogero Vetro

Publication date: 17 August 2020

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)

zbMATH Keywords

Dirichlet problemSobolev space\(p\)-Laplaciancapillary phenomena

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Related Items (3)

Existence of weak solutions for \(p(x)\)-Laplacian-like problem with \(p(x)\)-Laplacian operator under Neumann boundary condition ⋮ On local weak solutions for fractional in time Sobolev-type inequalities ⋮ Existence of nontrivial solution for a quasilinear elliptic equation with \((p, q)\)-Laplacian in \(\mathbb{R}^N\) involving critical Sobolev exponents

Cites Work

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• Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• The eigenvalue problem for the \(p\)-Laplacian-like equations
• Existence of a nontrivial solution for the \((p, q)\)-Laplacian in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
• Extrema problems with critical sobolev exponents on unbounded domains
• On nonlinear parametric problems for p-Laplacian-like operators
• Infinitely many weak solutions forp(x)-Laplacian-like problems with Neumann condition

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