Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains

DOI10.1016/j.na.2010.10.006zbMath1206.35250OpenAlexW2037949124MaRDI QIDQ622405

Dongsheng Li, Lihe Wang, Huilian Jia

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.006

zbMATH Keywords

compactness methodquasiconvex domain\(\Delta_2\cap\nabla_2\) condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (9)

An end point Orlicz type estimate for nonlinear elliptic equations ⋮ Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains ⋮ Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains ⋮ Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains ⋮ Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths ⋮ Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients ⋮ Nontrivial solutions for semilinear elliptic systems via Orlicz–Sobolev theory ⋮ Nonlinear gradient estimates for elliptic equations in quasiconvex domains ⋮ Higher integrability result for nonlinear elliptic systems with conormal boundary conditions

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