4 papers
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…
Proof of a Conjecture on Wiener Index and Eccentricity of a graph due to edge contraction
Joyentanuj Das, Ritabrata Jana
For a connected graph , the Wiener index, denoted by , is the sum of the distance of all pairs of distinct vertices and the eccentricity, denoted by , is t…