Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Vitillaro, Enzo"'
Autor:
Vitillaro, Enzo
The paper addresses the doubly elliptic eigenvalue problem $$\begin{cases} -\Delta u=\lambda u \qquad &\text{in $\Omega$,}\\ u=0 &\text{on $\Gamma_0$,}\\ -\Delta_\Gamma u +\partial_\nu u =\lambda u\qquad &\text{on $\Gamma_1$,} \end{cases} $$ where $\
Externí odkaz:
http://arxiv.org/abs/2403.19759
Nontrivial solutions for the Laplace equation with a nonlinear Goldstein-Wentzell boundary condition
Autor:
Vitillaro, Enzo
The paper deals with the existence and multiplicity of nontrivial solutions for the doubly elliptic problem $$\begin{cases} \Delta u=0 \qquad &\text{in $\Omega$,}\\ u=0 &\text{on $\Gamma_0$,}\\ -\Delta_\Gamma u +\partial_\nu u =|u|^{p-2}u\qquad &\tex
Externí odkaz:
http://arxiv.org/abs/2310.06442
Publikováno v:
Fract Calc Appl Anal 27, 677-705 (2024)
In this paper we prove existence of solutions to Schr\"odinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schr\"odinger-Maxwell equations and Schr\"odinger-Maxwell equations with a co
Externí odkaz:
http://arxiv.org/abs/2307.15655
Autor:
Vitillaro, Enzo
The paper deals with three evolution problems arising in the physical modelling of acoustic phenomena of small amplitude in a fluid, bounded by a surface of extended reaction. The first one is the widely studied wave equation with acoustic boundary c
Externí odkaz:
http://arxiv.org/abs/2307.07775
Publikováno v:
Milan J. Math. 91(2), 375-403 (2023)
Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allowed to be nonpositive definite according to a real parameter. In this
Externí odkaz:
http://arxiv.org/abs/2303.11663
Autor:
Barbieri, Alessio, Vitillaro, Enzo
The aim of the paper is to study the problem $$u_{tt}+du_t-c^2\Delta u=0 \qquad \text{in $\mathbb{R}\times\Omega$,}$$ $$\mu v_{tt}- \text{div}_\Gamma (\sigma \nabla_\Gamma v)+\delta v_t+\kappa v+\rho u_t =0\qquad \text{on $\mathbb{R}\times \Gamma_1$,
Externí odkaz:
http://arxiv.org/abs/2207.07047
Autor:
Vitillaro, Enzo
The aim of this paper is to give global nonexistence and blow--up results for the problem $$ \begin{cases} u_{tt}-\Delta u+P(x,u_t)=f(x,u) \qquad &\text{in $(0,\infty)\times\Omega$,}\\ u=0 &\text{on $(0,\infty)\times \Gamma_0$,}\\ u_{tt}+\partial_\nu
Externí odkaz:
http://arxiv.org/abs/2107.08213
Autor:
Mugnolo, Delio, Vitillaro, Enzo
The aim of the paper is to study the problem $u_{tt}-c^2\Delta u=0$ in $\mathbb{R}\times\Omega$, $\mu v_{tt}- \text{div}_\Gamma (\sigma \nabla_\Gamma v)+\delta v_t+\kappa v+\rho u_t =0$ on $\mathbb{R}\times \Gamma_1$, $v_t =\partial_\nu u$ on $\mathb
Externí odkaz:
http://arxiv.org/abs/2105.09219
Autor:
Pucci, Patrizia, Vitillaro, Enzo
The paper deals with a nontrivial density result for $C^m(\overline{\Omega})$ functions, with $m\in{\mathbb N}\cup\{\infty\}$, in the space $$W^{k,\ell,p}(\Omega;\Gamma)= \left\{u\in W^{k,p}(\Omega): u_{|\Gamma}\in W^{\ell,p}(\Gamma)\right\},$$ endow
Externí odkaz:
http://arxiv.org/abs/2005.10740
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