6 papers · 1 filter
Blow-up phenomena and asymptotic profiles passing from -critical to super-critical quasilinear Schrödinger equations
Daniele Cassani, Youjun Wang
We study the asymptotic profile, as , of positive solutions to where is a…
Blow-up rate and local uniqueness for fractional Schrödinger equations with nearly critical growth
Daniele Cassani, Youjun Wang
We study quantitative aspects and concentration phenomena for ground states of the following nonlocal Schrödinger equation $ (-Δ)^s u+V(x)u= u^{2_s^*-1-\varepsilon} \ \ \text{in}\…
Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality
Daniele Cassani, Cristina Tarsi
We study the following Choquard type equation in the whole plane where is the Newton logarithmic kernel, is a boun…
Maximum Principle for Higher Order Operators in General Domains
Daniele Cassani, Antonio tarsia
We first prove De Giorgi type level estimates for functions in , , with . This augmented integrability enables us to establish a new Ha…
Uniqueness results for higher order elliptic equations and systems
Daniele Cassani, Delia Schiera
In this paper we develop a Gidas-Ni-Nirenberg technique for polyharmonic equations and systems of Lane-Emden type. As far as we are concerned with Dirichlet boundary conditions, we…
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
Daniele Cassani, Hugo Tavares, Jianjun Zhang
We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -Δu…