On a class of \(p(x)\)-Laplacian-like Dirichlet problem depending on three real parameters
From MaRDI portal
Publication:2156696
DOI10.1007/s40065-022-00372-2zbMath1497.35273OpenAlexW4223512678MaRDI QIDQ2156696
Mohamed El Ouaarabi, Said Melliani, Chakir Allalou
Publication date: 20 July 2022
Published in: Arabian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40065-022-00372-2
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
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 ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A topological degree for operators of generalized \((S_{+})\) type
- Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
- Extension of the Leray-Schauder degree for abstract Hammerstein type mappings
- Regularity of minimizers of some variational integrals with discontinuity
- New diffusion models in image processing
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
- Regularity results for stationary electro-rheological fluids
- Positive solutions of the Dirichlet problem for the prescribed mean curvature equation
- Existence results for some nonlinear elliptic equations via topological degree methods
- Existence result for a Dirichlet problem governed by nonlinear degenerate elliptic equation in weighted Sobolev spaces
- Existence and regularity results for nonlinear parabolic equations with quadratic growth with respect to the gradient
- Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian
- Existence and uniqueness results for a class of \(p(x)\)-Kirchhoff-type problems with convection term and Neumann boundary data
- On continuity of minimizers for certain quadratic growth functionals
- Intrinsic scaling for PDEs with an exponential nonlinearity
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
- Gradient estimates for thep(x)-Laplacean system
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Regularity results for a class of functionals with non-standard growth
- Mathematical modeling of electrorheological materials
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
