Some properties and applications related to the \((2,p)\)-Laplacian operator

DOI10.1186/s13661-016-0567-xzbMath1338.35128OpenAlexW2288986978WikidataQ59468126 ScholiaQ59468126MaRDI QIDQ257360

Anran Li, Zhanping Liang, Xixi Han

Publication date: 16 March 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0567-x

zbMATH Keywords

fixed point indexhomeomorphic differential operatorquantitative deformation lemma

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (5)

Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators ⋮ On a system of sequential Caputo-type \(p\)-Laplacian fractional BVPs with stability analysis ⋮ Multiple solutions for \((p, 2)\)-equations at resonance ⋮ Multiple positive solutions for a class of (2, p)-Laplacian equation ⋮ Multiple solutions with sign information for a class of coercive \((p, 2)\)-equations

Cites Work

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• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Minimax theorems
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\)
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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