Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions

DOI10.5269/bspm.62182OpenAlexW4320925964MaRDI QIDQ6194690

Chakir Allalou, Mohamed El Ouaarabi, Said Melliani

Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.62182

zbMATH Keywords

variable exponent Sobolev spacestopological degree methodsdouble phase problem\((p(x),q(x))\)-Laplacian operators

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Degree theory for nonlinear operators (47H11) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A topological degree for operators of generalized \((S_{+})\) type
• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• 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
• On some variational problems
• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• Existence and multiplicity results for double phase problem
• Correction and addendum to ``Boundary regularity of minimizers of \(p(x)\)-energy functionals
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Existence result for a Dirichlet problem governed by nonlinear degenerate elliptic equation in weighted Sobolev spaces
• Ground state and nodal solutions for a class of double phase problems
• Regularity for minimizers for functionals of double phase with variable exponents
• Existence of solutions for double-phase problems by topological degree
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• 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 \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions