\({\mathcal{C}}^{1, \gamma }\) regularity for singular or degenerate fully nonlinear equations and applications

DOI10.1007/s00030-019-0586-2zbMath1428.35132arXiv1901.05400OpenAlexW2974175449MaRDI QIDQ2330923

Isabeau Birindelli, Fabiana Leoni, Francoise Demengel

Publication date: 23 October 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05400

zbMATH Keywords

degenerate elliptic equationsregularity of solutionssingular elliptic equationsuniqueness of the ergodic function

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Singular elliptic equations (35J75)

Related Items (11)

Fully nonlinear free transmission problems with nonhomogeneous degeneracies ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ Ergodic pairs for singular or degenerate fully nonlinear operators ⋮ Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy ⋮ Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent ⋮ Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications ⋮ Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem ⋮ Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators ⋮ Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients ⋮ Pointwise properties of \(L^p\)-viscosity solutions of uniformly elliptic equations with quadratically growing gradient terms ⋮ Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations

Cites Work

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• 𝒞^1,βregularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
• Large solutions and gradient bounds for quasilinear elliptic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Hölder estimates for degenerate elliptic equations with coercive Hamiltonians
• Ergodic pairs for singular or degenerate fully nonlinear operators

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