3 citations · 6 across the 5 of their papers we have counts for
5 papers
Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
Priyank Oza, Vishvesh Kumar, Durvudkhan Suragan
We study a class of inhomogeneous parabolic equations on the Heisenberg group $\mathbbm{H}^N$ with Hardy-type singular potentials, nonlocal memory terms, and a space-time forcing t…
Fujita exponent for the fractional sub-Laplace semilinear heat equation with forcing term on the Heisenberg group
Priyank Oza, Durvudkhan Suragan
In this paper, we study the semilinear heat equation with a forcing term, driven by the fractional sub-Laplacian (-Δ_{\mathbbm{H}^N})^s of order on the Heisenberg gro…
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…
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…
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…