21 citations · 48 across the 18 of their papers we have counts for
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math.AP2016★ 11 cited
Profile of solutions for nonlocal equations with critical and supercritical nonlinearities
Mousomi Bhakta, Debangana Mukherjee, Sanjiban Santra
We study the fractional laplacian problem (-Δ)^s u &=& u^p -εu^q \quad\text{in }\quad Ω, u &\in& H^s(Ω)\cap L^{q+1}(Ω),u &>&0 \quad\text{in }\quad Ω, u&=&0 \quad\text{in}\quad \mat…
math.AP2016
Semilinear nonlocal elliptic equations with critical and supercritical exponents
Mousomi Bhakta, Debangana Mukherjee
We study the problem \begin{eqnarray*} (-Δ)^s u &=& u^p - u^q \quad\text{in }\quad \mathbb{R}^N, u &\in& \dot{H}^s(\mathbb{R}^N)\cap L^{q+1}(\mathbb{R}^N), u&>0& \quad\text{in}\qua…
math.AP2016★ 6 cited
Multiplicity results and sign changing solutions of non-local equations with concave-convex nonlinearities
Mousomi Bhakta, Debangana Mukherjee
In this paper we prove the existence of infinitely many nontrivial solutions of the following equations driven by a nonlocal integro-differential operator with concave-convex…