Lorentz estimate for nonlinear parabolic obstacle problems with asymptotically regular nonlinearities

DOI10.1016/j.na.2016.01.001OpenAlexW2306418425MaRDI QIDQ5962930

Shen-Zhou Zheng, Junjie Zhang

Publication date: 25 February 2016

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.2016.01.001

zbMATH Keywords

Lorentz spaces\((\delta, R)\)-vanishing conditionasymptotically regularnonlinear parabolic obstacle problems

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Second-order parabolic equations (35K10)

Related Items (4)

Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type ⋮ Lorentz estimates for fully nonlinear parabolic and elliptic equations ⋮ Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity ⋮ On global \(L^q\) estimates for systems with \(p\)-growth in rough domains

Cites Work

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• Potential estimates and gradient boundedness for nonlinear parabolic systems
• New perturbation methods for nonlinear parabolic problems
• Marcinkiewicz estimates for degenerate parabolic equations with measure data
• Borderline gradient continuity for nonlinear parabolic systems
• Global Calderón-Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities
• Nonlinear potential estimates in parabolic problems
• Degenerate parabolic equations
• Gradient estimates for a class of parabolic systems
• Global regularity for almost minimizers of nonconvex variational problems
• Gradient estimates in Orlicz spaces for quasilinear elliptic equation
• Gradient estimates in Orlicz space for nonlinear elliptic equations
• The obstacle problem revisited
• Calderón-Zygmund theory for nonlinear elliptic problems with irregular obstacles
• Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains
• Calderón-Zygmund estimates for parabolic \(p(x,t)\)-Laplacian systems
• Lorentz estimates for obstacle parabolic problems
• Lorentz estimates for degenerate and singular evolutionary systems
• Nonlinear gradient estimates for parabolic problems with irregular obstacles
• Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
• Degenerate problems with irregular obstacles
• Parabolic and Elliptic Equations with VMO Coefficients
• Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations

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