Lorentz estimates for fully nonlinear parabolic and elliptic equations

DOI10.1016/j.na.2016.09.012zbMath1353.35085OpenAlexW2536105286MaRDI QIDQ343020

Shen-Zhou Zheng, Junjie Zhang

Publication date: 18 November 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.2016.09.012

zbMATH Keywords

Lorentz spaces\((\delta,R)\)-vanishing nonlinearityestimate of the Hessianlarge-\(M\)-inequality principle

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Strong solutions to PDEs (35D35)

Related Items (10)

Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients ⋮ Weighted Lorentz and Lorentz–Morrey estimates to viscosity solutions of fully nonlinear elliptic equations ⋮ Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations ⋮ Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ⋮ Hessian estimates for fully nonlinear equations via the large-\(M\)-inequality principle ⋮ Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations ⋮ The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients ⋮ Variable Lorentz estimate for stationary Stokes system with partially BMO coefficients ⋮ Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth

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