30 citations · 117 across the 36 of their papers we have counts for
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On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures
Mousomi Bhakta, Phuoc-Tai Nguyen
We study positive solutions to the fractional Lane-Emden system \begin{equation*} \tag{S}\label{S} \left\{ \begin{aligned} (-Δ)^s u &= v^p+μ\quad &&\text{in } Ω\\ (-Δ)^s v &= u^q+ν…
Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions
Mousomi Bhakta, Debangana Mukherjee
We study the nonlocal scalar field equation with a vanishing parameter \[ \left\{\begin{array}{lll} (-Δ)^s u+εu &=|u|^{p-2}u -|u|^{q-2}u \quad\text{in}\quad\mathbb{R}^N \\ u >0, &…
Multiplicity results for fractional elliptic equations involving critical nonlinearities
Mousomi Bhakta, Debangana Mukherjee
In this paper we prove the existence of infinitely many nontrivial solutions for the class of fractional elliptic equations involving concave-critical nonlinearities in…
Boundary value problem with measures for fractional elliptic equations involving source nonlinearities
Mousomi Bhakta, Phuoc-Tai Nguyen
We are concerned with positive solutions of equation (E) in a domain (), where and $f\in C^α_{loc}(\mathbb{R})…