3 papers
math.AP2026
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\…
math.AP2024
Multiple positive solutions to a perturbed Gelfand problem involving mixed local-nonlocal operators and singular nonlinearity
Sarbani Pramanik
We investigate a perturbed Gelfand problem involving a mixed local-nonlocal -Laplacian operator with singular nonlinearity: \begin{equation*} \begin{aligned} -Δ_p u + (-Δ_p)^s u…
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 Laplace operator, for the existence of its positive solution in an arbitrary smooth bounded domain.…