13 citations · 68 across the 13 of their papers we have counts for
16 papers
Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition
Eleonora Amoroso, Ángel Crespo-Blanco, Patrizia Pucci +1
In this paper we first introduce an innovative equivalent norm in the Musielak-Orlicz Sobolev spaces in a very general setting and we then present a new result on the boundedness o…
Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential
Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki, Patrizia Pucci
In the present work we are concerned with the following Kirchhoff-Choquard-type equation $$-M(||\nabla u||_{2}^{2})Δu +Q(x)u + μ(V(|\cdot|)\ast u^2)u = f(u) \mbox{ in } \mathbb{R}^…
Fractional elliptic systems with critical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Olimpio H. Miyagaki +1
In this paper we study positive solutions to the following nonlocal system of equations: \begin{equation*} \left\{\begin{aligned} &(-Δ)^s u = \fracα{2_s^*}|u|^{α-2}u|v|^β+f(x)\;\;\…
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
The paper deals with existence and multiplicity of positive solutions to nonlocal equations with critical Hrardy-Sobolev nonlinearities and external terms. We establish the profile…
Recent rigidity results for graphs with prescribed mean curvature
Bruno Bianchini, Giulio Colombo, Marco Magliaro +3
This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs . Emphasis is put on mi…
Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems
Patrizia Pucci, Enzo Vitillaro
The paper deals with a nontrivial density result for functions, with , in the space $$W^{k,\ell,p}(Ω;Γ)= \left\{u\in W^{k,p}(Ω): u_…