http://repositorio.unb.br/handle/10482/41190
Title: | Non-cooperative elliptic systems modeling interactions of Bose-Einstein condensates in RN |
Authors: | Maia, Liliane de Almeida Rodrigues, Mayra Soares Costa Ruviaro, Ricardo |
Assunto:: | Sistemas elípticos não cooperativos Condensados de Bose-Einstein Schrödinger, Equação de Geometria |
Issue Date: | 11-Jun-2020 |
Publisher: | Springer |
Citation: | MAIA, Liliane A.; SOARES, Mayra; RUVIARO, Ricardo. Non-cooperative elliptic systems modeling interactions of Bose–Einstein condensates in RN. Zeitschrift für angewandte Mathematik und Physik, v. 71, art. n. 105, 2020. DOI: https://doi.org/10.1007/s00033-020-01329-1. |
Abstract: | We seek solutions for non-cooperative elliptic systems of two Schrödinger equations which can model phenomena in Physics and Biology. General conditions are assumed under the potentials, which produce convenient spectral properties on the elliptic operator concerned; hence, the non-cooperation characterizes it as a strongly indefinite problem. Spectral theory is employed along with an abstract linking theorem developed previously by the first two authors, which is the core of our argument. Furthermore, super- and asymptotically quadratic nonlinearities are considered. |
DOI: | https://doi.org/10.1007/s00033-020-01329-1 |
metadata.dc.relation.publisherversion: | https://link.springer.com/article/10.1007/s00033-020-01329-1 |
Appears in Collections: | Artigos publicados em periódicos e afins |
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