Oza, PriyankPriyankOza2025-08-312025-08-312024-01-0110.14232/EJQTDE.2024.1.262-s2.0-85201806193http://repository.iitgn.ac.in/handle/IITG2025/29103We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations: { |Du|^γ M⁺ (λ,Λ<inf>D</inf>² u(x)⁾ = f⁽ |u ≥ u(x)|⁾ in Ω u = g on ∂Ω, where γ ≥ 1 is a constant, Ω is a bounded domain in R^N with C^1,1 boundary. We prove the existence of a W^2,p-viscosity solution to the above equation, which degenerates when the gradient of the solution vanishes.trueDirichlet boundary value problem | fully nonlinear degenerate elliptic equations | Pucci’s ex-tremal operator | viscosity solutionArticlehttps://doi.org/10.14232/ejqtde.2024.1.26141738752024126arJournal1