Local Morrey estimate in Musielak-Orlicz-Sobolev space

DOI10.12775/tmna.2023.001arXiv1910.11686OpenAlexW2981699919MaRDI QIDQ6187506

Pei-Hao Zhao, Duchao Liu

Publication date: 15 January 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11686

zbMATH Keywords

Hölder continuityMusielak-Sobolev spaceMorrey estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Renormalised solutions in thermo-visco-plasticity for a Norton-Hoff type model. II: The limit case.
• An imbedding theorem for Musielak-Sobolev spaces
• Generalized Stokes system in Orlicz spaces
• Bounded minimisers of double phase variational integrals
• Thermo-visco-elasticity for models with growth conditions in Orlicz spaces
• Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method
• Orlicz spaces and modular spaces
• Solutions for a quasilinear elliptic equation in Musielak-Sobolev spaces
• Steady flow of non-Newtonian fluids - monotonicity methods in generalized Orlicz spaces
• On steady non-Newtonian fluids with growth conditions in generalized Orlicz spaces
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Convexity conditions and existence theorems in nonlinear elasticity
• A class of De Giorgi type and local boundedness
• Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
• Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Unsteady flows of non-Newtonian fluids in generalized Orlicz spaces
• The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
• Regularity for double phase variational problems
• Nonlinear parabolic problems in Musielak-Orlicz spaces
• Orlicz-Sobolev spaces and imbedding theorems
• Generalized Orlicz spaces and related PDE
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
• Some approximation properties in Orlicz-Sobolev spaces
• Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
• Anisotropic parabolic problems with slowly or rapidly growing terms
• Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
• Regularity results for a class of functionals with non-standard growth

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