Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Dovetta, A."'
Autor:
Dovetta, Simone
We establish general non-uniqueness results for normalized ground states of nonlinear Schr\"odinger equations with power nonlinearity on metric graphs. Basically, we show that, whenever in the $L^2$-subcritical regime a graph hosts ground states at e
Externí odkaz:
http://arxiv.org/abs/2409.04098
We consider the existence of normalized solutions to nonlinear Schr\"odinger equations on noncompact metric graphs in the $L^2$ supercritical regime. For sufficiently small prescribed mass ($L^2$ norm), we prove existence of positive solutions on two
Externí odkaz:
http://arxiv.org/abs/2404.15841
We investigate the existence of normalized ground states for Schr\"odinger equations on noncompact metric graphs in presence of nonlinear point defects, described by nonlinear $\delta$-interactions at some of the vertices of the graph. For graphs wit
Externí odkaz:
http://arxiv.org/abs/2312.07092
We establish existence and multiplicity of one-peaked and multi-peaked positive bound states for nonlinear Schr\"odinger equations on general compact and noncompact metric graphs. Precisely, we construct solutions concentrating at every vertex of odd
Externí odkaz:
http://arxiv.org/abs/2310.11315
We investigate existence and nonexistence of action ground states and nodal action ground states for the nonlinear Schr\"odinger equation on noncompact metric graphs with rather general boundary conditions. We first obtain abstract sufficient conditi
Externí odkaz:
http://arxiv.org/abs/2306.12121
Autor:
Dovetta, Simone
We investigate the asymptotic behaviour of nonlinear Schr\"odinger ground states on $d$-dimensional periodic metric grids in the limit for the length of the edges going to zero. We prove that suitable piecewise-affine extensions of such states conver
Externí odkaz:
http://arxiv.org/abs/2305.03988
We compare ground states for the nonlinear Schr\"odinger equation on metric graphs, defined as global minimizers of the action functional constrained on the Nehari manifold, and least action solutions, namely minimizers of the action among all soluti
Externí odkaz:
http://arxiv.org/abs/2301.08001
We focus on an epidemiological model (the archetypical SIR system) defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of so called graphons we provide a chara
Externí odkaz:
http://arxiv.org/abs/2211.01932
Autor:
Boni, Filippo, Dovetta, Simone
We investigate the existence of ground states at prescribed mass on general metric graphs with half-lines for focusing doubly nonlinear Schr\"odinger equations involving both a standard power nonlinearity and delta nonlinearities located at the verti
Externí odkaz:
http://arxiv.org/abs/2112.09016
We investigate the relations between normalized critical points of the nonlinear Schr\"odinger energy functional and critical points of the corresponding action functional on the associated Nehari manifold. Our first general result is that the ground
Externí odkaz:
http://arxiv.org/abs/2107.08655