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Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 05, Pp 223-235 (2000)
The existence of basic and more complicated multichain heteroclinic solutions is established for a class of forced slowly oscillating Hamiltonian systems. Constrained minimization arguments are the key tool in obtaining the results.
Externí odkaz:
https://doaj.org/article/5b8029c634fc4920ac9cbecb7c56d1bb
Autor:
Chao-Nien Chen, Vittorio Coti Zelati
For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen-Cahn equation on an infinite channel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ef2e0a62ad6a181c5bc58ed69fd00eb
http://arxiv.org/abs/2003.08248
http://arxiv.org/abs/2003.08248
We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We prove the existence of a ``ground state" solution using the Foldy-Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4a4a424efd859076ac3ae72d9fe9f62
http://hdl.handle.net/11588/762467
http://hdl.handle.net/11588/762467
Publikováno v:
Journal of Fixed Point Theory and Applications. 19:601-615
In this note, we give an alternative proof of the Virial Theorem for the Dirac equation perturbed with a Coulomb-like potential, result which goes back to Albeverio (Ann Phys 71:167–276, 1972), Kalf (J Funct Anal 21:389–396, 1976) and refined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3da720ec2926d1c33c1b280b6fd6ab9e
https://doi.org/10.1007/s11784-016-0367-z
https://doi.org/10.1007/s11784-016-0367-z
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 136:62-83
We study the Brown–Ravenhall operator (the projection of the Dirac operator perturbed by a potential V ∈ L w 3 ) using the Foldy–Wouthuysen (unitary) transformation and its realization as an elliptic problem in the 4-dim half space R + 4 with N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bedc4b31a074c366f99c2e0239672797
https://doi.org/10.1016/j.na.2016.02.011
https://doi.org/10.1016/j.na.2016.02.011
Publikováno v:
Journal of Elliptic and Parabolic Equations. 1:89-108
In this note we give a variational characterization of the eigenvalues and eigenvectors for the operator $$H = {H_0} + V = \sqrt { - {c^2}\Delta + {m^2}{c^4}} + V,$$ where H0) is the relativistic (free) Hamiltonian operator and V is a real valued pot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::122374f93c2b47901cd2a369055dfa92
https://doi.org/10.1007/bf03377370
https://doi.org/10.1007/bf03377370
Autor:
Vittorio Coti Zelati, Marta Macrì
Publikováno v:
Nonlinearity. 18:2409-2445
We consider the Lagrangian , V 2π-periodic and δ bounded. The corresponding Euler–Lagrange equations have as the origin a saddle-centre stationary point whose (globally defined) centre manifold is foliated in periodic orbits. We prove that for ω
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14ff8afba7306d0d283064ee30747500
https://doi.org/10.1088/0951-7715/18/6/001
https://doi.org/10.1088/0951-7715/18/6/001
Publikováno v:
Scopus-Elsevier
In the paper we prove that the Lagrangian system $ \ddot{q} = \alpha(\omega t) V'(q), \quad t \in \mathbb R, q \in \mathbb R^N,$ $\qquad\qquad (L_\omega)$ has, for some classes of functions $\alpha$, a chaotic behavior---more precisely the system has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e981fca70de9dc1d0d9200d1b1d56e9d
https://doi.org/10.3934/dcds.2004.10.687
https://doi.org/10.3934/dcds.2004.10.687
Autor:
Ciro Ciliberto, Vittorio Coti Zelati
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 10:291-291
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10ca515b73d44427a9ddda797bf3b8b8
https://doi.org/10.1007/s40574-017-0140-2
https://doi.org/10.1007/s40574-017-0140-2