Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms

DOI10.1007/s00208-016-1481-3zbMath1377.35059OpenAlexW2529512111MaRDI QIDQ1674586

Gonzalo Dávila, Alexander Quaas, Erwin Topp

Publication date: 25 October 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-016-1481-3

zbMATH Keywords

regularity up to the boundarycoercive gradient termHölder continuous viscosity solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)

Related Items (4)

An ODE approach for fractional Dirichlet problems with gradient nonlinearity ⋮ Analysis of the attainment of boundary conditions for a nonlocal diffusive Hamilton-Jacobi equation ⋮ The nonlocal inverse problem of Donsker and Varadhan ⋮ Harnack inequality and self-similar solutions for fully nonlinear fractional parabolic equations

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