Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities

Furtado, Marcelo Fernandes; Silva, Edcarlos D.; Severo, Uberlandio B.

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Élément Dublin Core	Valeur	Langue
dc.contributor.author	Furtado, Marcelo Fernandes	-
dc.contributor.author	Silva, Edcarlos D.	-
dc.contributor.author	Severo, Uberlandio B.	-
dc.date.accessioned	2021-03-09T20:35:02Z	-
dc.date.available	2021-03-09T20:35:02Z	-
dc.date.issued	2020-10-14	-
dc.identifier.citation	FURTADO, Marcelo F.; SILVA, Edcarlos D.; SEVERO, Uberlandio B. Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities. Zeitschrift für angewandte Mathematik und Physik, v. 71, 186, 2020. DOI: https://doi.org/10.1007/s00033-020-01414-5.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/40196	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação de Kirchhoff	pt_BR
dc.subject.keyword	Problemas assintoticamente lineares	pt_BR
dc.subject.keyword	Problemas superlineares	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00033-020-01414-5	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00033-020-01414-5	pt_BR
dc.description.abstract1	We establish the existence and multiplicity of solutions for Kirchhoff elliptic problems of type −m (∫R3\|∇u\|2dx) \|Δu=f(x,u), x∈R3, where m:R+→R is continuous, positive and satisfies appropriate growth and/or monotonicity conditions. We consider the cases that f is asymptotically 3−linear or 3−superlinear at infinity, in an appropriated sense. By using variational methods, we obtain our results under crossing assumptions of the functions m and f with respect to limit eigenvalues problems. In the model case m(t)=a+bt, we also prove a concentration result for some solutions when b→0+.	pt_BR
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