30 citations · 117 across the 36 of their papers we have counts for
5 papers · 1 filter
On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians
Huyuan Chen, Mousomi Bhakta, Hichem Hajaiej
In this paper, we show the existence of a sequence of eigenvalues for a Dirichlet problem involving two mixed fractional operators with different orders. We provide lower and upper…
Fractional elliptic systems with critical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Olimpio H. Miyagaki +1
In this paper we study positive solutions to the following nonlocal system of equations: \begin{equation*} \left\{\begin{aligned} &(-Δ)^s u = \fracα{2_s^*}|u|^{α-2}u|v|^β+f(x)\;\;\…
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
The paper deals with existence and multiplicity of positive solutions to nonlocal equations with critical Hrardy-Sobolev nonlinearities and external terms. We establish the profile…
Nonhomogeneous systems involving critical or subcritical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via…
On multiplicity of positive solutions for nonlocal equations with critical nonlinearity
Mousomi Bhakta, Patrizia Pucci
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity: \begin{equation} \tag{}…