Sekhar Ghosh

activity

20172026

most citedMultiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

45 citations · 96 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.AP2025

On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data

Sekhar Ghosh, R. Lakshmi, Chao Zhang

This work focuses on the nonhomogeneous nonlocal double phase problem \begin{align*} L_au(x)=f(x,u,D_s^p u, D_{a,t}^q u) \text{ in } Ω, \end{align*} where $Ω \subset R^{N}$ is…

math.AP2025

Brezis-Nirenberg type problems associated with nonlinear superposition operators of mixed fractional order

Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1

This paper aims to study the Brezis-Nirenberg type problem driven by the nonlinear superposition of operators of the form $A_{μ, p} u := \int_{[0, 1]} (- Δ)_{p}^{s} u d μ (s),$ wher…

math.AP2025

Critical Equations Involving Nonlocal Subelliptic Operators on Stratified Lie Groups: Spectrum, Bifurcation and Multiplicity

Sekhar Ghosh, Vishvesh Kumar

In this paper, we explore the bifurcation phenomena and establish the existence of multiple solutions for the nonlocal subelliptic Brezis-Nirenberg problem: \begin{equation*} \begi…