A note on the upper perturbation property and removable sets for fully nonlinear degenerate elliptic PDE

DOI10.1007/s00030-018-0547-1zbMath1506.35077OpenAlexW2908071376MaRDI QIDQ1729833

Andrzej Świȩch

Publication date: 28 February 2019

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

Full work available at URL: https://doi.org/10.1007/s00030-018-0547-1

zbMATH Keywords

viscosity solution\(L^n\)-viscosity solutionfully non-linear elliptic PDE

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40)

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Cites Work

• \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations
• Zero Lebesgue measure sets as removable sets for degenerate fully nonlinear elliptic PDEs
• User’s guide to viscosity solutions of second order partial differential equations
• L^p- Theory for fully nonlinear uniformly parabolic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Unnamed Item