A MULTIPLICITY THEOREM FOR A VARIABLE EXPONENT DIRICHLET PROBLEM

DOI10.1017/S0017089508004242zbMath1154.35041MaRDI QIDQ3503714

Eugénio M. Rocha, Nikolaos S. Papageorgiou

Publication date: 9 June 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

sub- and supersolutionDirichlet boundary valuessubcritical nonlinear equationvarying exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Unnamed Item ⋮ Radial solutions of Dirichlet problems with concave-convex nonlinearities ⋮ Three non-zero solutions for a nonlinear eigenvalue problem ⋮ Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions ⋮ Overview of differential equations with non-standard growth ⋮ Three solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian

Cites Work

• Construction of pseudo-gradient vector field and sign-changing multiple solutions involving \(p\)-Laplacian
• Multiple solutions for coercive \(p\)-Laplacian equations
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• On a superlinear elliptic \(p\)-Laplacian equation.
• Regularity results for stationary electro-rheological fluids
• Sign-changing and multiple solutions for the \(p\)-Laplacian
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• On sign-changing and multiple solutions of the \(p\)-Laplacian.
• EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS
• A class of De Giorgi type and Hölder continuity
• THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS
• SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
• A multiplicity theorem for problems with the \(p\)-Laplacian

This page was built for publication: A MULTIPLICITY THEOREM FOR A VARIABLE EXPONENT DIRICHLET PROBLEM