4 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} -Î_p u + (-Î_q)^s u &= \fracλ{u^δ} + u^r \text{ in…
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 \((-Î_p) + (-Î^{s}_{q})\) in a bounded smooth domain. The nonlin…
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 $(-…
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, und…