Three solutions for a class of quasilinear elliptic equation involving the p − q‐Laplace operator

DOI10.1002/mma.2805zbMath1284.35159OpenAlexW2178052385MaRDI QIDQ5406982

Jing Wen, Honghui Yin

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2805

zbMATH Keywords

Sobolev spacethree critical points theorem\(p\)-\(q\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (1)

A complete classification of bifurcation diagrams for a class of \((p,q)\)-Laplace equations

Cites Work

• A class of \(p\)-\(q\)-Laplacian type equation with concave-convex nonlinearities in bounded domain
• A minimax inequality and its applications to ordinary differential equations
• An eigenvalue problem for a quasilinear elliptic field equation
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• Three solutions for a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian
• A three critical points theorem revisited
• Singular solutions of the \(p\)-Laplace equation
• Some remarks on a three critical points theorem
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Existence of three solutions for a quasilinear two-point boundary value problem.
• Existence of three solutions for a two point boundary value problem
• On a three critical points theorem
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Existence of three solutions for a nonautonomous two point boundary value problem
• Existence of solutions of the Neumann problem for a class of equations involving the \(p\)-Laplacian via a variational principle of Ricceri
• Multiplicity results for a Neumann problem involving the \(p\)-Laplacian.
• The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\)
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term

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