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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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