Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

DOI10.1016/j.jde.2015.11.025zbMath1426.35118OpenAlexW2193498448MaRDI QIDQ2634276

Sun-Sig Byun, Mikyoung Lee, Dian K. Palagachev

Publication date: 8 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.025

zbMATH Keywords

viscosity solutionMorrey spaceweighted Lebesgue spaceMuckenhoupt weightHessian estimatesfully nonlinear equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Viscosity solutions to PDEs (35D40)

Related Items (19)

Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ Lorentz estimates for fully nonlinear parabolic and elliptic equations ⋮ \(L^{p(\cdot), \lambda(\cdot)}\) regularity for fully nonlinear elliptic equations ⋮ Weighted regularity estimates in Orlicz spaces for fully nonlinear elliptic equations ⋮ Weighted Lorentz and Lorentz–Morrey estimates to viscosity solutions of fully nonlinear elliptic equations ⋮ Linear and fully nonlinear elliptic equations with Morrey drift ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity ⋮ Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations ⋮ \(L^p\)-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions ⋮ Global weighted estimates for second-order nondivergence elliptic and parabolic equations ⋮ \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions ⋮ Nondivergence elliptic and parabolic problems with irregular obstacles ⋮ \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values ⋮ Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces ⋮ Regularity theory for \(L^n\)-viscosity solutions to fully nonlinear elliptic equations with asymptotical approximate convexity ⋮ Linear and fully nonlinear elliptic equations with L_d-drift ⋮ Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑}

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• Solvability of uniformly elliptic fully nonlinear PDE
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
• \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations
• Nonlinear potential theory and weighted Sobolev spaces
• Existence of strong solutions of Pucci extremal equations with superlinear growth in \(Du\)
• On the Existence of Solutions for Fully Nonlinear Elliptic Equations Under Relaxed Convexity Assumptions
• On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains
• Modern Fourier Analysis
• Another Characterization of BMO
• On the regularity theory of fully nonlinear parabolic equations: I
• Oblique derivative problem for quasilinear elliptic equations with VMO coefficients
• L^p- Theory for fully nonlinear uniformly parabolic equations
• Quasilinear Elliptic Equations with VMO Coefficients
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• On weighted W^2,p estimates for elliptic equations with BMO coefficients in nondivergence form
• Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations