Título:	Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities
Autor(es):	Furtado, Marcelo Fernandes Silva, Edcarlos D. Severo, Uberlandio B.
Assunto:	Equação de Kirchhoff Problemas assintoticamente lineares Problemas superlineares Métodos variacionais
Data de publicação:	14-Out-2020
Editora:	Springer Nature
Referência:	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.
Abstract:	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+.
DOI:	https://doi.org/10.1007/s00033-020-01414-5
Versão da editora:	https://link.springer.com/article/10.1007/s00033-020-01414-5
Aparece nas coleções:	Artigos publicados em periódicos e afins

Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.