Mountain pass solution for a \(p(t)\)-biharmonic Kirchhoff type equation

DOI10.22080/CJMS.2024.25125.1647MaRDI QIDQ6622772

M. Mirzapour

Publication date: 22 October 2024

Published in: Caspian Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

mountain pass theoremKirchhoff type problems\(p(t)\)-biharmonic equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Cites Work

• Title not available (Why is that?)
• Existence and multiplicity of solutions for Kirchhoff type problems involving \(p(x)\)-biharmonic operators
• On the spectrum of a fourth order elliptic equation with variable exponent
• Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
• A Knobloch-type result for \(p(t\))-Laplacian systems.
• Existence of positive solutions for nonlocal problems with indefinite nonlinearity
• High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator
• Existence and multiplicity of nontrivial solutions for a nonlocal problem
• Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain
• Three Weak Solutions for a Class of $$\boldsymbol{p(x)}$$-Kirchhoff Type Biharmonic Problems
• Three solutions to a Neumann boundary value problem driven by \(p(x)\)-biharmonic operator

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