2 papers
math.AP2026
On fractional -Laplacian evolution equation
Rakesh Arora, Nitin Kumar Maurya
We study a nonlocal evolution problem driven by the fractional -Laplacian with a Carathéodory nonlinearity satisfying subcritical growth conditions. We develop a potential well…
math.AP2025
Global Existence and Finite-Time Blow-Up of Solutions for Parabolic Equations Involving the Fractional Musielak -Laplacian
Rakesh Arora, Anouar Bahrouni, Nitin Kumar Maurya
In this work, we study the parabolic fractional Musielak -Laplacian equation: \begin{equation*} \left\{ \begin{aligned} u_{t} + (-Δ)_{{g}_{x,y}}^{s} u &= f(x,u), && \text{…