2 papers
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…
math.AP2023
Symmetry and Monotonicity Property of a Solution of (p,q) Laplace Equation with Singular Term
Ritabrata Jana
This paper examines the behavior of a positive solution $u\in C^{1,α}(\BarΩ)$ of the Laplace equation with a singular term and zero Dirichlet boundary condition. Specifical…