Global Sobolev regularity for general elliptic equations of \(p\)-Laplacian type
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Publication:1800881
DOI10.1007/s00526-018-1408-9zbMath1405.35050arXiv1703.09918OpenAlexW2888592986WikidataQ129360023 ScholiaQ129360023MaRDI QIDQ1800881
Sun-Sig Byun, Pilsoo Shin, Dian K. Palagachev
Publication date: 26 October 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09918
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62)
Related Items (16)
A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces ⋮ Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles ⋮ Lorentz improving estimates for the \(p\)-Laplace equations with mixed data ⋮ Global gradient estimates for general nonlinear elliptic measure data problems with Orlicz growth ⋮ Level-set inequalities on fractional maximal distribution functions and applications to regularity theory ⋮ Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data ⋮ Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations ⋮ New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data ⋮ Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators ⋮ Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts ⋮ Optimal regularity estimates for general nonlinear parabolic equations ⋮ Calderón-Zygmund estimates for general elliptic operators with double phase ⋮ Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces ⋮ Nonlinear Calderón-Zygmund theory involving dual data ⋮ Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications ⋮ Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Universal potential estimates
- Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
- Nonlinear gradient estimates for elliptic equations of general type
- Global estimates for quasilinear elliptic equations on Reifenberg flat domains
- Gradient estimates for a class of parabolic systems
- Elliptic equations with measurable nonlinearities in nonsmooth domains
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
- Global continuity of solutions to quasilinear equations with Morrey data
- Interior gradient estimates for quasilinear elliptic equations
- Degenerate problems with irregular obstacles
- Elliptic equations with BMO coefficients in Reifenberg domains
- Global integrability of the gradients of solutions to partial differential equations
- On harnack type inequalities and their application to quasilinear elliptic equations
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