13 citations · 68 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
Recent rigidity results for graphs with prescribed mean curvature
Bruno Bianchini, Giulio Colombo, Marco Magliaro +3
This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs . Emphasis is put on mi…
Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems
Patrizia Pucci, Enzo Vitillaro
The paper deals with a nontrivial density result for functions, with , in the space $$W^{k,\ell,p}(Ω;Γ)= \left\{u\in W^{k,p}(Ω): u_…
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{}…