A minimization method and applications to the study of solitons

DOI10.1016/J.NA.2012.03.012zbMath1263.47084arXiv1111.1888OpenAlexW2162187671MaRDI QIDQ435866

Vieri Benci, Donato Fortunato

Publication date: 12 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1888

zbMATH Keywords

latticesolitary wavesnonlinear Schrödinger equationvorticesnonlinear Klein-Gordon equationorbital stabilitylack of compactnesshylomorphic solitons

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Applications of operator theory to differential and integral equations (47N20)

Related Items (6)

Hylomorphic solitons and charged Q-balls: existence and stability ⋮ Existence of torsional solitons in a beam model of suspension bridge ⋮ Schrödinger-Poisson system with singular potential ⋮ Solitons in Schrödinger-Maxwell equations ⋮ Hylomorphic solitons for the generalized KdV equation ⋮ Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations

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