Fully nonlinear degenerate equations with applications to grad equations

Oza, PriyankPriyankOza2025-08-282025-08-282023-03-01http://arxiv.org/abs/2303.11255https://d8.irins.org/handle/IITG2025/20131We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations:(|Du|?M+?,?D2u(x) = f|u ? u(x)| in ?u = g on ?,where ??1 is a constant, ? is a bounded domain in RN with C1,1 boundary. We prove the existence of a W2,p-viscosity solution to the above equation, which degenerates when the gradient of the solution vanishes.en-USDegenerate equationGrad equationViscosity solutionNonlinear equationEllipticFully nonlinear degenerate equations with applications to grad equationse-Printe-Print123456789/555