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math.AP2024
Fine Boundary Regularity For The Fractional (p,q)-Laplacian
R. Dhanya, Ritabrata Jana, Uttam Kumar +1
In this article, we deal with the fine boundary regularity, a weighted Hölder regularity of weak solutions to the problem involving the fractional Laplacian denoted by $(-Δ…
math.AP2023
Positive Solutions for Fractional p- Laplace Semipositone Problem with Superlinear Growth
R. Dhanya, Ritabrata Jana, Uttam Kumar +1
We consider a semipositone problem involving the fractional Laplace operator of the form \begin{equation*} \begin{aligned} (-Δ)_p^s u &=μ( u^{r}-1) \text{ in } Ω,\\ u &>0 \text…