Existence of solutions to the \(A\)-Laplace system via Young measures

DOI10.4171/ZAA/1684zbMath1471.35132OpenAlexW3154831216MaRDI QIDQ2041344

Elhoussine Azroul, Farah Balaadich

Publication date: 19 July 2021

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1684

zbMATH Keywords

Dirichlet problemexistence\(A\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces ⋮ On quasilinear elliptic systems with growth conditions in Orlicz-Sobolev spaces

Cites Work

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• Gradient continuity for \(p(\cdot)\)-Laplace systems
• A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
• Classification of isolated singularities for nonhomogeneous operators in divergence form
• Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Gradient Young measures generated by sequences in Sobolev spaces
• A refinement of Ball's theorem on Young measures
• Nonlinear elliptic systems with measure-valued right hand side
• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• Orlicz-Young structures of Young measures
• Mountain pass type solutions for quasilinear elliptic equations
• Potential estimates for the \(p\)-Laplace system with data in divergence form
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• The natural best approximant in Orlicz spaces of Young measures
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• A weak solution to quasilinear elliptic problems with perturbed gradient
• Quasilinear elliptic systems with nonstandard growth and weak monotonicity
• Quasilinear elliptic systems with right-hand side in divergence form
• Existence of solutions for generalized \(p(x)\)-Laplacian systems
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Quasilinear elliptic systems in perturbed form
• A multiplicity theorem for problems with the \(p\)-Laplacian