8 citations · 8 across the 7 of their papers we have counts for
7 papers
Existence of infinitely many solutions for a critical Hartree type equation with potential: local Pohožaev identities methods
Daniele Cassani, Minbo Yang, Xinyun Zhang
This paper deals with the following equation $$-Δu =K(|x'|, x'')\Big(|x|^{-α}\ast (K(|x'|, x'')|u|^{2^{\ast}_α})\Big) |u|^{2^{\ast}_α-2}u\quad\mbox{in}\ \mathbb{R}^N,$$ where $N\ge…
Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities
Daniele Cassani, Tosiya Miyasita
We consider a hyperbolic ordinary differential equation perturbed by a nonlinearity which can be singular at a point and in particular this includes MEMS type equations. We first s…
Positive solutions to the planar logarithmic Choquard equation via asymptotic approximation
Daniele Cassani, Lele Du, Zhisu Liu
In this paper we study the following nonlinear Choquard equation where …
Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs
Daniele Cassani, Lele Du
We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings \begin{align*} W_{0}^{s,p}\left(Ω\right)\hookrightarrow L^{q}\left(Ω\right), \end{align…
Quasilinear logarithmic Choquard equations with exponential growth in
Claudia Bucur, Daniele Cassani, Cristina Tarsi
We consider the -Laplacian Schrödinger equation strongly coupled with higher order fractional Poisson's equations. When the order of the Riesz potential is equal to the Eucl…
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…