30 citations · 117 across the 36 of their papers we have counts for
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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…
On singular equations with critical and supercritical exponents
Mousomi Bhakta, Sanjiban Santra
We study the problem \begin{equation*} (I_ε) \left\{\begin{aligned} -Δu- \frac{μu}{|x|^2}&=u^p -εu^q \quad\text{in }\quad Ω, \\ u&>0 \quad\text{in }\quad Ω, \\ u &\in H^1_0(Ω)\cap…
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…
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…