Existence and uniqueness results for a class of \(p(x)\)-Kirchhoff-type problems with convection term and Neumann boundary data

DOI10.1007/s41808-022-00165-wzbMath1491.35203OpenAlexW4229456249MaRDI QIDQ2141804

Chakir Allalou, Said Melliani, Mohamed El Ouaarabi

Publication date: 25 May 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-022-00165-w

zbMATH Keywords

existenceuniquenessNeumann condition\(p(x)\)-Kirchhoff-type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

On a class of \(p(x)\)-Laplacian-like Dirichlet problem depending on three real parameters ⋮ Existence of weak solution for \(p\)-Kirchoff type problem via topological degree ⋮ Study of some elliptic system of (p(x),q(x))-Kirchhoff type with convection ⋮ \(p(x)\)-Kirchhoff-type problem with no-flux boundary conditions and convection ⋮ Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree ⋮ Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds ⋮ Existence of Weak Solution for $p(x)$-Kirchhoff Type Problem Involving the $p(x)$-Laplacian-like Operator by Topological Degree ⋮ On a new \(p(x)\)-Kirchhoff type problems with \(p(x)\)-Laplacian-like operators and Neumann boundary conditions ⋮ Existence of weak solutions for \(p(x)\)-Laplacian-like problem with \(p(x)\)-Laplacian operator under Neumann boundary condition ⋮ Nonlinear degenerate Navier problem involving the weighted biharmonic operator with measure data in weighted Sobolev spaces

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