Zobrazeno 1 - 10
of 533
pro vyhledávání: '"Colasuonno A"'
For the following Neumann problem in a ball $$\begin{cases} -\Delta_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial \nu}=0\quad&\text{on }\partial B, \end{cases}$$ with $1
Externí odkaz:
http://arxiv.org/abs/2405.13674
The Cauchy problem in $\mathbb R^n$ is considered for \begin{eqnarray*} \left\{ \begin{array}{l} u_t = \Delta u - \nabla \cdot (u\nabla v),\\ 0 = \Delta v + u. \end{array} \right. \end{eqnarray*} For each $n\ge 10$, a statement on stability and attra
Externí odkaz:
http://arxiv.org/abs/2309.15633
We deal with the following semilinear equation in exterior domains \[-\Delta u + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where ${A_R} := \{x\in\mathbb{R}^N:\, |x|>{R}\}$, $N\ge 3$, $R>0$. Assuming that the weight $a$ is positive and satisfies
Externí odkaz:
http://arxiv.org/abs/2309.03029
Denoising Diffusion Models (DDM) are emerging as the cutting-edge technology in the realm of deep generative modeling, challenging the dominance of Generative Adversarial Networks. However, effectively exploring the latent space's semantics and ident
Externí odkaz:
http://arxiv.org/abs/2308.06057
We study Brezis-Nirenberg type problems, governed by the double phase operator $- \mathrm{div}\left(|\nabla u|^{p-2}\, \nabla u + a(x)\, |\nabla u|^{q-2}\, \nabla u\right)$, that involve a critical nonlinearity of the form $|u|^{p^\ast - 2}\, u + b(x
Externí odkaz:
http://arxiv.org/abs/2306.04762
Autor:
Cinti, Eleonora, Colasuonno, Francesca
We establish a priori $L^\infty$-estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-constant solutions under suitable assumptions on the diffusion coefficien
Externí odkaz:
http://arxiv.org/abs/2211.08315
Autor:
Chiara Marioli, Maurizio Muzzi, Fiorella Colasuonno, Cristian Fiorucci, Nicolò Cicolani, Stefania Petrini, Enrico Bertini, Marco Tartaglia, Claudia Compagnucci, Sandra Moreno
Publikováno v:
Cell Death Discovery, Vol 10, Iss 1, Pp 1-11 (2024)
Abstract Riboflavin Transporter Deficiency (RTD) is a rare genetic, childhood-onset disease. This pathology has a relevant neurological involvement, being characterized by motor symptoms, ponto-bulbar paralysis and sensorineural deafness. Such clinic
Externí odkaz:
https://doaj.org/article/6d8c37ea2c734d79beff524072e6467e
In this paper we deal with the equation \[-\Delta_p u+|u|^{p-2}u=|u|^{q-2}u\] for $1p$, under Neumann boundary conditions in the unit ball of $\mathbb R^N$. We focus on the three positive, radial, and radially non-decreasing solutions, w
Externí odkaz:
http://arxiv.org/abs/2203.06940
We face a rigidity problem for the fractional $p$-Laplace operator to extend to this new framework some tools useful for the linear case. It is known that $(-\Delta)^s(1-|x|^{2})^s_+$ and $-\Delta_p(1-|x|^{\frac{p}{p-1}})$ are constant functions in $
Externí odkaz:
http://arxiv.org/abs/2112.08239