The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian

DOI10.1016/j.camwa.2017.09.037zbMath1415.35130OpenAlexW2767066307MaRDI QIDQ1732348

Qing-Mei Zhou, Bin Ge

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.037

zbMATH Keywords

positive solutionsNehari manifold\(p(x)\)-LaplacianKirchhoff problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35) Positive solutions to PDEs (35B09)

Related Items (6)

Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition ⋮ Existence results for an anisotropic variable exponent Kirchhoff-type problem ⋮ Elliptic anisotropic Kirchhoff-type problems with singular term ⋮ On a nonlocal anisotropic system with variable exponents ⋮ The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem ⋮ Superlinear elliptic equations with variable exponent via perturbation method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the removability of isolated singular points for elliptic equations involving variable exponent
• Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian
• Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
• On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
• Multiplicity results for elliptic Kirchhoff-type problems
• Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting
• On stationary thermo-rheological viscous flows
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• The local boundedness and Harnack inequality of \(p(x)\)-Laplace equation
• Solutions of nonlinear problems involving \(p(x)\)-Laplacian operator
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Existence of multiple solutions for quasilinear systems via fibering method
• Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions
• Existence and localization results for \(p(x)\)-Laplacian via topological methods
• Existence results for a class of nonlocal problems involving \(p(x)\)-Laplacian
• Multiple perturbations of a singular eigenvalue problem
• Nonlinear elliptic equations with variable exponent: old and new
• Eigenvalues of the \(p(x)\)-biharmonic operator with indefinite weight
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Variational Methods for Nonlocal Fractional Problems
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Positive solutions for the p-Laplacian: application of the fibrering method
• Partial Differential Equations with Variable Exponents
• Variable Exponent, Linear Growth Functionals in Image Restoration
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian