The existence of semiclassical states to some nonlinear Schrodinger equations that concentrate near the critical points of the potential V is studied by means of a local approach, variational in nature. We also discuss stability and necessary conditions for concentration. The same method is used to find multiple homoclinic orbits to a class of second-order Hamiltonian systems.
Semiclassical states of nonlinear Schrödinger equations / Ambrosetti, A.; Badiale, M.; Cingolani, S.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 140:3(1997), pp. 285-300. [10.1007/s002050050067]
Semiclassical states of nonlinear Schrödinger equations
S. Cingolani
1997-01-01
Abstract
The existence of semiclassical states to some nonlinear Schrodinger equations that concentrate near the critical points of the potential V is studied by means of a local approach, variational in nature. We also discuss stability and necessary conditions for concentration. The same method is used to find multiple homoclinic orbits to a class of second-order Hamiltonian systems.File in questo prodotto:
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