4 papers · 1 filter
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…