Arbitrarily many solutions for a perturbed \(p(x)\)-Laplacian equation involving oscillatory terms

DOI10.1016/J.AMC.2009.08.049zbMath1178.35172OpenAlexW1983222109MaRDI QIDQ1044424

Guowei Dai

Publication date: 18 December 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.049

zbMATH Keywords

\(p(x)\)-Laplacianoscillatory termsperturbed elliptic problem

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• On stationary thermo-rheological viscous flows
• Perturbation from Dirichlet problem involving oscillating nonlinearities
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Quasilinear elliptic problems in \(\mathbb R^N\) involving oscillatory nonlinearities
• Detection of arbitrarily many solutions for perturbed elliptic problems involving oscillatory terms
• Infinitely many solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• Three solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a hemivariational inequality involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
• Three symmetric solutions for a differential inclusion system involving the \((p(x),q(x))\)-Laplacian in \(\mathbb R^N\)
• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Every superposition operator mapping one Sobolev space into another is continuous
• On some variational problems
• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Perturbations from symmetric elliptic boundary value problems
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Perturbations of even nonsmooth functionals
• Minimax theorems
• A general variational principle and some of its applications
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Perturbations of nonsmooth symmetric nonlinear eigenvalue problems
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Arbitrarily many solutions for a perturbed \(p(x)\)-Laplacian equation involving oscillatory terms