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pro vyhledávání: '"Galant, Damien"'
We develop a new approach to the investigation of normalized solutions for nonlinear Schr\"odinger equations based on the analysis of the masses of ground states of the corresponding action functional. Our first result is a complete characterization
Externí odkaz:
http://arxiv.org/abs/2411.10317
We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
Externí odkaz:
http://arxiv.org/abs/2403.10959
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
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
Autor:
Galant, Damien, Pilatte, Cédric
In this short note, we prove that the degree-three dilation of the square lattice $\mathbb{Z}^2$ is $1+\sqrt{2}$. This disproves a conjecture of Dumitrescu and Ghosh. We give a computer-assisted proof of a local-global property for the uncountable se
Externí odkaz:
http://arxiv.org/abs/2010.13473
Autor:
Bourgeois, Frédéric, Galant, Damien
We study the geography of bilinearized Legendrian contact homology for closed, connected Legendrian submanifolds with vanishing Maslov class in 1-jet spaces. We show that this invariant detects whether the two augmentations used to define it are DGA
Externí odkaz:
http://arxiv.org/abs/1905.12037
Autor:
Galant, Damien, Pilatte, Cédric
Publikováno v:
Discrete Mathematics, Algorithms & Applications; May2022, Vol. 14 Issue 3, p1-12, 12p
Akademický článek
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Autor:
Galant, Damien1 galant.damien@gmail.com, Gaborit, Bénédicte2,3 benedicte.gaborit@ap-hm.fr, Desgrouas, Camille1,4 camille.desgrouas@univ-amu.fr, Abdesselam, Ines2,5 inesabdesselam@hotmail.com, Bernard, Monique5 monique.bernard@univ-amu.fr, Levy, Nicolas1,6 nicolas.levy@univ-amu.fr, Merono, Françoise1 francoise.merono@univ-amu.fr, Coirault, Catherine7 c.coirault@institut-myologie.org, Roll, Patrice1,8 patrice.roll@univ-amu.fr, Lagarde, Arnaud1 arnaud.lagarde@ap-hm.fr, Bonello-Palot, Nathalie1,6 Nathalie.BONELLO@ap-hm.fr, Bourgeois, Patrice1,6 Patrice.BOURGEOIS@ap-hm.fr, Dutour, Anne2,3 anne.dutour@ap-hm.fr, Badens, Catherine1,6 catherine.badens@univ-amu.fr
Publikováno v:
Cells (2073-4409). 2016, Vol. 5 Issue 2, p21. 10p.