A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations

DOI10.1016/S0252-9602(12)60003-4zbMath1265.35076OpenAlexW2067529109MaRDI QIDQ1931158

Nickolai Kutev, Bernhard Kawohl

Publication date: 24 January 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60003-4

zbMATH Keywords

viscosity solutionsgradient estimatesfully nonlinear elliptic equationsgradient blow up

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Viscosity solutions to PDEs (35D40)

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A note on one-dimensional symmetry for Hamilton-Jacobi equations with extremal Pucci operators and application to Bernstein type estimate ⋮ An ODE approach for fractional Dirichlet problems with gradient nonlinearity ⋮ Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms ⋮ Interior boundaries for degenerate elliptic equations and viscosity solutions ⋮ Jump discontinuous viscosity solutions to second order degenerate elliptic equations ⋮ Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton-Jacobi equation

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