58 citations · 102 across the 23 of their papers we have counts for
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math.AP2016★ 8 cited
Ground states and semiclassical states of nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical growth
Daniele Cassani, Jianjun Zhang
We are concerned with the existence of ground states for nonlinear Choquard equations involving a critical nonlinearity in the sense of Hardy-Littlewood-Sobolev. Our result complem…
math.AP2016
A priori estimates and positivity for semiclassical ground states for systems of critical Schroedinger equations in dimension two
Daniele Cassani, Jianjun Zhang
We consider in the whole plane the Hamiltonian coupling of semilinear Schroedinger equations which have critical growth in the sense of Moser. We prove that the (nonempty) set S of…
math.AP2016★ 23 cited
Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in
Claudianor O. Alves, Daniele Cassani, Cristina Tarsi +1
We study the following singularly perturbed nonlocal Schrödinger equation $$ -\vr^2Δu +V(x)u =\vr^{μ-2}\Big[\frac{1}{|x|^μ}\ast F(u)\Big]f(u) \quad \mbox{in} \quad \R^2, $$ where $…