R. Dhanya

activity

20152026

R^{N}

with Critical and Singular Discontinuous Nonlinearities

15 citations · 17 across the 11 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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 $p$ 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

Parameter estimates and a uniqueness result for double phase problem with a singular nonlinearity

R. Dhanya, M. S. Indulekha

We consider the boundary value problem $- Δ_{p} u_{λ} - Δ_{q} u_{λ} = λ g (x) u_{λ}^{- β}$ in $Ω$ , $u_{λ} = 0$ on $\partial Ω$ with $u_{λ} > 0$ in $Ω.$ We assume $Ω$ is a bounded open set in $R^{N}$ …

math.AP2023

On a class of infinite semipositone problems for (p,q) Laplace operator

R. Dhanya, R. Harish, Sarbani Pramanik

We analyze a non-linear elliptic boundary value problem, that involves $(p, q)$ Laplace operator, for the existence of its positive solution in an arbitrary smooth bounded domain.…