Irregular double obstacle problems with Orlicz growth

DOI10.1007/s12220-020-00352-yzbMath1437.35284OpenAlexW3003363342MaRDI QIDQ1985338

Shuang Liang, Jihoon Ok, Sun-Sig Byun

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00352-y

zbMATH Keywords

nonlinear elliptic equationdouble obstaclesCalderón-Zygmund estimateOrlicz growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items

Gradient estimates for Orlicz double phase problems with variable exponents, A new kind of double phase elliptic inclusions with logarithmic perturbation terms. I: Existence and extremality results, Irregular obstacle problems for Orlicz double phase, Lipschitz bounds and nonautonomous integrals, Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces, Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth, Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear gradient estimates for generalized elliptic equations with nonstandard growth in nonsmooth domains
• Calderón-Zygmund estimates for a class of quasilinear elliptic equations
• The Cauchy-Dirichlet problem for a general class of parabolic equations
• Global gradient estimates for non-uniformly elliptic equations
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Orlicz spaces and modular spaces
• Pointwise regularity of solutions to nonlinear double obstacle problems
• Divergence form operators in Reifenberg flat domains
• Gradient estimates for a class of parabolic systems
• Calderón-Zygmund estimates and non-uniformly elliptic operators
• A pointwise regularity theory for the two-obstacle problem
• Quasilinear elliptic-parabolic differential equations
• Gradient estimates for double phase problems with irregular obstacles
• A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
• Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators
• Calderón-Zygmund theory for nonlinear elliptic problems with irregular obstacles
• Calderón-Zygmund estimates for a class of quasilinear parabolic equations
• Maximal regularity for local minimizers of non-autonomous functionals
• Elliptic obstacle problems with measure data: potentials and low order regularity
• Gradient estimates for nonlinear elliptic double obstacle problems
• Riesz potential estimates for a general class of quasilinear equations
• Weighted regularity estimates in Orlicz spaces for fully nonlinear elliptic equations
• Regularity estimates for nonlinear elliptic measure data problems with nonstandard growth
• Lorentz estimates for obstacle parabolic problems
• Degenerate problems with irregular obstacles
• On the two obstacles problem in Orlicz–Sobolev spaces and applications
• Elliptic equations with BMO coefficients in Reifenberg domains
• A two-obstacle problem with variable exponent and measure data
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Partial Differential Equations with Variable Exponents
• On the extension property of Reifenberg-flat domains
• On the Lipschitz regularity for certain elliptic problems