Krylov and Safonov estimates for degenerate quasilinear elliptic PDEs

DOI10.1016/j.jde.2009.11.018zbMath1185.35109OpenAlexW2031987955MaRDI QIDQ846976

François Delarue

Publication date: 16 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.11.018

zbMATH Keywords

degeneracyHölder estimatequasilinear elliptic PDEs

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Related Items

Estimates on elliptic equations that hold only where the gradient is large, Eigenfunctions for singular fully nonlinear equations in unbounded domains, Harnack inequality for singular fully nonlinear operators and some existence results, Krylov-Safonov estimates for a degenerate diffusion process, Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations, Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type, Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form, Harnack inequality for degenerate and singular elliptic equations with unbounded drift, Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach, \(C^1\)-regularity for degenerate diffusion equations

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• The maximum principle
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• A remark on regularization in Hilbert spaces
• Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited
• Local behavior of solutions of quasi-linear equations
• Local \(C^{0,\alpha }\) estimates for viscosity solutions of Neumann-type boundary value problems
• Linear and quasilinear elliptic equations
• Continuity of Solutions of Parabolic and Elliptic Equations
• A representation formula and regularizing properties for viscosity solutions of second-order fully nonlinear degenerate parabolic equations
• Diffusions and Elliptic Operators
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