45 citations · 96 across the 15 of their papers we have counts for
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math.AP2018★ 12 cited
Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity
S. Ghosh, D. Choudhuri
In this article, we will prove the existence of infinitely many positive weak solutions to the following nonlocal elliptic PDE. \begin{align} (-Δ)^s u&= \fracλ{u^γ}+ f(x,u)~\text{i…
math.AP2018★ 45 cited
Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
Kamel Saoudi, Sekhar Ghosh, Debajyoti Choudhuri
In this paper, we prove the existence of multiple solutions for a nonlinear nonlocal elliptic PDE involving a singularity which is given as \begin{eqnarray} (-Δ_p)^s u&=& \fracλ{u^…
math.AP2018★ 1 cited
Multiplicity of solutions to an elliptic problem with singularity and measure data
S. Ghosh, A. Panda, D. Choudhuri
In this paper, we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -Δ_{p}u & = \fracλ{u^γ}+g(u)+μ~\mbox{in}\,\,Ω, u & =…