Existence result for Neumann problems with \(p(x)\)-Laplacian-like operators in generalized Sobolev spaces
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Publication:2695247
DOI10.1007/s12215-022-00733-yOpenAlexW4220747578MaRDI QIDQ2695247
Said Melliani, Mohamed El Ouaarabi, Chakir Allalou
Publication date: 30 March 2023
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-022-00733-y
Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (7)
Existence of weak solution for a class of \(p(x)\)-Laplacian problems depending on three real parameters with Dirichlet condition ⋮ 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 ⋮ Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds ⋮ 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
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- A topological degree for operators of generalized \((S_{+})\) type
- Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
- On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
- 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
- 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 \(W^{m,p(x)}(\mathbb{R}^n)\).
- Electrorheological fluids: modeling and mathematical theory
- Positive solutions of the Dirichlet problem for the prescribed mean curvature equation
- Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- 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
- On a class of \(p(x)\)-Choquard equations with sign-changing potential and upper critical growth
- Regularity for minimizers for functionals of double phase with variable exponents
- Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents
- Ni-Serrin type equations arising from capillarity phenomena with non-standard growth
- 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
- Partial Differential Equations with Variable Exponents
- ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION
- 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 \(W^{m,p(x)}(\Omega)\)
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