Nontrivial solutions for Kirchhoff-type problems involving the \(p(x)\)-Laplace operator

DOI10.1216/RMJ-2018-48-4-1145zbMath1401.35061MaRDI QIDQ1799885

Abdeljabbar Ghanmi

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1538272826

zbMATH Keywords

\(p(x)\)-LaplacianKirchhoff-type problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Variational methods for higher-order elliptic equations (35J35)

Related Items (14)

Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential ⋮ Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem ⋮ Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities ⋮ Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents ⋮ Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory ⋮ Existence Results for Singular p(x)-Laplacian Equation ⋮ Infinitely many solutions for a class of Kirchhoff problems involving the \(p(x)\)-Laplacian operator ⋮ Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights ⋮ Existence results for nonlinear elliptic equations with Leray-Lions operators in Sobolev spaces with variable exponents ⋮ On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities ⋮ Multiple solutions for a fourth-order elliptic equation of Kirchhoff type with variable exponent ⋮ Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions ⋮ MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN

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