The Calderón-Zygmund property for quasilinear divergence form equations over Reifenberg flat domains

DOI10.1016/j.na.2010.10.044zbMath1209.35047OpenAlexW2083926761MaRDI QIDQ629287

Dian K. Palagachev, Lubomira G. Softova

Publication date: 9 March 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.2010.10.044

zbMATH Keywords

weak solutionBMOHölder continuityReifenberg flat domaindivergence form quasilinear elliptic and parabolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with low regular coefficients and/or low regular data (35R05) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)

Related Items (28)

Global Hölder continuity of solutions to quasilinear equations with Morrey data ⋮ Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains ⋮ Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth ⋮ Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains ⋮ Nonlinear gradient estimates for parabolic problems with irregular obstacles ⋮ Gradient estimates for parabolic equations in generalized weighted Morrey spaces ⋮ Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations ⋮ Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type ⋮ Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains ⋮ Interior and boundary \(W^{1,q}\)-estimates for quasi-linear elliptic equations of Schrödinger type ⋮ Global Morrey regularity for asymptotically regular elliptic equations ⋮ Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains ⋮ Parabolic Obstacle Problem with Measurable Coefficients in Morrey-Type Spaces ⋮ Weighed estimates for nonlinear elliptic problems with Orlicz data ⋮ Survey on gradient estimates for nonlinear elliptic equations in various function spaces ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Boundedness of the solutions to non-linear systems with Morrey data ⋮ \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains ⋮ Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains ⋮ Global gradient estimates for non-uniformly elliptic equations ⋮ Calderón-Zygmund theory for nonlinear elliptic problems with irregular obstacles ⋮ Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains ⋮ Boundedness of solutions to a class of coercive systems with Morrey data ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On global \(L^q\) estimates for systems with \(p\)-growth in rough domains ⋮ Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains ⋮ Elliptic Obstacle Problems with Measurable Coefficients in Non-Smooth Domains

Cites Work

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• Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients
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• Continuity of Solutions of Parabolic and Elliptic Equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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• Quasilinear Elliptic Equations with VMO Coefficients

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