Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications

DOI10.1016/j.jde.2023.05.006zbMath1518.35323arXiv2205.07818OpenAlexW4377090662MaRDI QIDQ6155340

Junior da S. Bessa, Maria N. B. Frederico, João Vítor da Silva, Gleydson C. Ricarte

Publication date: 12 June 2023

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

Full work available at URL: https://arxiv.org/abs/2205.07818

zbMATH Keywords

fully nonlinear elliptic equationsoblique boundary conditionsglobal \(W^{2 , p}\) estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items

Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators

Cites Work

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• \(W^{2,p}\) estimates for solutions to asymptotically elliptic equations in nondivergence form
• Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach
• Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems
• On the existence of smooth solutions for fully nonlinear elliptic equations with measurable ``coefficients without convexity assumptions
• On the impossibility of \(W_p^2\) estimates for elliptic equations with piecewise constant coefficients
• Regularity of solutions in semilinear elliptic theory
• Interior a priori estimates for solutions of fully nonlinear equations
• Fully nonlinear singularly perturbed equations and asymptotic free boundaries
• Regularity of solutions of obstacle problems for elliptic equations with oblique boundary condi\-tions.
• Fully nonlinear oblique derivative problems for nonlinear second-order elliptic PDE's
• Asymptotically regular problems I: Higher integrability
• Global regularity for almost minimizers of nonconvex variational problems
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• Regularity for fully nonlinear elliptic equations with oblique boundary conditions
• Nondivergence elliptic and parabolic problems with irregular obstacles
• Sharp regularity for degenerate obstacle type problems: a geometric approach
• The structure of the free boundary in the fully nonlinear thin obstacle problem
• The obstacle problem for a class of degenerate fully nonlinear operators
• \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values
• On \(W^{2, p}\)-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions
• \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions
• Higher order convergence rates in theory of homogenization. II: Oscillatory initial data
• Non-transversal intersection of the free and fixed boundary in the mean-field theory of superconductivity
• A general class of free boundary problems for fully nonlinear parabolic equations
• Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
• A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS
• On the Existence of Solutions for Fully Nonlinear Elliptic Equations Under Relaxed Convexity Assumptions
• Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Oblique Derivative Problems for Elliptic Equations
• Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients
• Lipschitz regularity of solutions of some asymptotically convex problems
• Boundary Regularity and Nontransversal Intersection for the Fully Nonlinear Obstacle Problem
• An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates
• Bounded mean oscillation and the uniqueness of active scalar equations
• Small Perturbation Solutions for Elliptic Equations
• On the existence of Wp2 solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions
• Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity
• Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
• Regularity estimates for fully non linear elliptic equations which are asymptotically convex