\(L^{p(\cdot), \lambda(\cdot)}\) regularity for fully nonlinear elliptic equations

DOI10.1016/J.NA.2016.10.016zbMath1355.35070OpenAlexW2547006422MaRDI QIDQ346607

Tang Lin

Publication date: 29 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.2016.10.016

zbMATH Keywords

viscosity solutionMorrey spaceMuckenhoupt weightfully nonlinear elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40)

Related Items (13)

The Fourier transform of anisotropic Hardy spaces with variable exponents and their applications ⋮ Molecular decomposition of anisotropic Hardy spaces with variable exponents ⋮ Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ Unnamed Item ⋮ The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators ⋮ Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Generalization of Hardy–Littlewood maximal inequality with variable exponent ⋮ The molecular decomposition of anisotropic mixed-norm Hardy spaces and their application ⋮ Doob’s and Burkholder-Davis-Gundy inequalities with variable exponent ⋮ Variable 2-microlocal Besov-Triebel-Lizorkin-type spaces ⋮ Variable anisotropic Hardy spaces and their applications ⋮ Hessian estimates for fully nonlinear equations via the large-\(M\)-inequality principle ⋮ Variable martingale Hardy spaces and their applications in Fourier analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
• Interior a priori estimates for solutions of fully nonlinear equations
• Lebesgue and Sobolev spaces with variable exponents
• Gradient estimates for a class of parabolic systems
• \(W^{2,p(\cdot )}\)-regularity for elliptic equations in nondivergence form with BMO coefficients
• Variable exponent Morrey and Campanato spaces
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients
• \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains
• Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• Gradient estimates for thep(x)-Laplacean system
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mathematical modeling of electrorheological materials

This page was built for publication: \(L^{p(\cdot), \lambda(\cdot)}\) regularity for fully nonlinear elliptic equations