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math.AP2023★ 2 cited
Fully nonlinear degenerate equations with applications to Grad equations
Priyank Oza
We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations: \begin{align} \begin{cases} |Du|^γ\mathcal{M}_{λ,Λ}^+\big(D^2u(x)\big)=f\b…
math.AP2023★ 1 cited
Regularity of solutions to variable-exponent degenerate mixed fully nonlinear local and nonlocal equations
Priyank Oza, Jagmohan Tyagi
We consider a class of variable-exponent mixed fully nonlinear local and nonlocal degenerate elliptic equations, which degenerate along the set of critical points, $C:=\big\{x:\,Du…
math.AP2023★ 3 cited
Mixed fully nonlinear local and nonlocal elliptic operators in Heisenberg group
Priyank Oza, Jagmohan Tyagi
We establish the comparison principle, existence and regularity of viscosity solutions to the following problem concerning the mixed operator: \begin{align} \begin{cases} α\mathcal…