A weak solution to quasilinear elliptic problems with perturbed gradient

DOI10.1007/s12215-020-00488-4zbMath1465.35189OpenAlexW3012798251MaRDI QIDQ2024399

Farah Balaadich, Elhoussine Azroul

Publication date: 4 May 2021

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/s12215-020-00488-4

zbMATH Keywords

existence of solutionsDirichlet conditionquasilinear elliptic systems

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Related Items (16)

Quasilinear elliptic systems with nonlinear physical data ⋮ EXISTENCE RESULTS FOR FRACTIONAL P-LAPLACIAN SYSTEMS VIA YOUNG MEASURES ⋮ On Steady Flows of Quasi-Newtonian Fluids in Orlicz–Sobolev Spaces ⋮ A NOTE ON QUASILINEAR ELLIPTIC SYSTEMS WITH L^\infty-DATA ⋮ Existence of solutions for parabolic variational inequalities ⋮ Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces ⋮ On strongly quasilinear degenerate elliptic systems with weak monotonicity and nonlinear physical data ⋮ On quasilinear elliptic systems with growth conditions in Orlicz-Sobolev spaces ⋮ On \(p\)-Kirchhoff-type parabolic problems ⋮ Weak solution for fractional \((p_1,\dots,p_m)\)-Laplacian system with Dirichlet-type boundary conditions ⋮ Existence of solutions to the \(A\)-Laplace system via Young measures ⋮ On strongly quasilinear elliptic systems with weak monotonicity ⋮ AN EXISTENCE RESULT FOR QUASILINEAR PARABOLIC SYSTEMS WITH LOWER ORDER TERMS ⋮ Existence of Solutions for a Class of Kirchhoff-Type Equation via Young Measures ⋮ Existence of solutions for some quasilinear parabolic systems in Orlicz spaces ⋮ Elliptic Systems of $p$-Laplacian Type

Cites Work

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• Existence and regularity for elliptic equations under \(p,q\)-growth
• Optimal second-order regularity for the \(p\)-Laplace system
• Existence of very weak solutions to elliptic systems of \(p\)-Laplacian type
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• Nonlinear Analysis - Theory and Methods
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