Regularity for radial solutions of degenerate fully nonlinear equations

DOI10.1016/j.na.2012.06.028zbMath1254.35099arXiv1110.3614OpenAlexW2059579623MaRDI QIDQ452423

Francoise Demengel, Isabeau Birindelli

Publication date: 21 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3614

zbMATH Keywords

regularityviscosity solutionsfully nonlinear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40)

Related Items (12)

Fully nonlinear free transmission problems with nonhomogeneous degeneracies ⋮ \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem ⋮ Fully nonlinear singularly perturbed models 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 ⋮ Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations ⋮ Interior regularity results for fractional elliptic equations that degenerate with the gradient ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators ⋮ Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy ⋮ Overdetermined Problems for Some Fully Non Linear Operators ⋮ Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications

Cites Work

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• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

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