A study of nonlinear problems for the \(p\)-Laplacian in \(\mathbb R^n\) via Ricceri's principle

DOI10.1016/J.NA.2011.04.013zbMath1221.35268OpenAlexW1982446891MaRDI QIDQ548629

Said El Manouni

Publication date: 29 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.013

zbMATH Keywords

\(p\)-LaplacianRicceri's principleregularity resultmultiple nontrivial solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (2)

Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system ⋮ Multiple solutions for double phase problems in \(\mathbb{R}^n\) via Ricceri's principle

Cites Work

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• A further three critical points theorem
• Local behavior of solutions of quasi-linear equations
• Multiple solutions of a sublinear Schrödinger equation
• On some nonlinear elliptic problems for \(p\)-Laplacian in \(\mathbb{R}^N\)
• Existence and multiplicity results for a nonlinear stationary Schrödinger equation
• Nonlinear p-Laplacian Problems on Unbounded Domains
• THREE SOLUTIONS FOR A PERTURBED SUBLINEAR ELLIPTIC PROBLEM IN $\mathbb{R}^N$
• Nonlinear Eigenvalue Problem for p‐Laplacian in IR^N
• MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION

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