15 citations · 17 across the 11 of their papers we have counts for
11 papers
Global Multiplicity and Comparison Principles for Singular Problems driven by Mixed Local-Nonlocal Operators
R. Dhanya, Sarbani Pramanik
We study a singular elliptic problem driven by a mixed local-nonlocal operator of the form \begin{equation*} \begin{aligned} -Δ_p u + (-Δ_q)^s u &= \fracλ{u^δ} + u^r \text{ in } Ω\…
Multiplicity Results for Mixed Local Nonlocal Equations With Indefinite Concave-Convex Type Nonlinearity
R. Dhanya, Jacques Giacomoni, Ritabrata Jana
In this article we examine the multiplicity of non-negative solutions to mixed local-nonlocal equations involving \((-Δ_p) + (-Δ^{s}_{q})\) in a bounded smooth domain. The nonlinea…
Interior and Boundary Regularity of Mixed Local Nonlocal Problem with Singular Data and Its Applications
R. Dhanya, Jacques Giacomoni, Ritabrata Jana
In this article, we examine the Hölder regularity of solutions to equations involving a mixed local-nonlocal nonlinear nonhomogeneous operator $\fp + \fqs$ with singular data, unde…
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…
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…
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 in , on with in We assume is a bounded open set in …
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 Laplace operator, for the existence of its positive solution in an arbitrary smooth bounded domain.…
Strong comparison principle for a p-Laplace equation involving singularity and its applications
R. Dhanya, M. S. Indulekha, Ritabrata Jana
In this paper we prove a strong comparison principle for radially decreasing solutions $u,v\in C_{0}^{1,α}(\Bar{B_R})$ of the singular equations and $-Δ…
A multiparameter semipositone fractional laplacian problem involving critical exponent
R. Dhanya, Sweta Tiwari
In this paper we prove the existence of at least one positive solution for nonlocal semipositone problem of the type $$ (P_λ^μ)\left\{ \begin{array}{lll} (-Δ)^s u&=& λ(u^{q}-1)+μu^…
Elliptic Problems in with Critical and Singular Discontinuous Nonlinearities
R. Dhanya, S. Prashanth, Sweta Tiwari +1
Let be a bounded domain in , with smooth boundary, and be real numbers. Define and the characteris…
Isolated Singularities of Polyharmonic Operator in Even Dimension
Dhanya Rajendran, Abhishek Sarkar
We consider the equation in the sense of distribution in where and Then it is known that solves $Δ^2 u=g(x,u)+αδ_…