45 citations · 173 across the 35 of their papers we have counts for
5 papers · 2 filters
Three nontrivial solutions of a nonlocal problem involving critical exponent
Amita Soni, D. Choudhuri
In this paper we will prove the existence of three nontrivial weak solutions of the following problem involving a nonlinear integro-differential operator and a term with critical e…
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…
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^…
Existence of multiple solutions to an elliptic problem with measure data
Amita Soni, D. Choudhuri
In this paper we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -Δ_{p}u & = λ|u|^{q-2}u+f(x,u)+μ\,\,\mbox{in}\,\,Ω, u…
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 & =…