Title:	A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities
Authors:	Lehrer, Raquel Maia, Liliane de Almeida Ruviaro, Ricardo
metadata.dc.identifier.orcid:	https://orcid.org/0000-0001-7385-8866 https://orcid.org/0000-0002-6163-1899 https://orcid.org/0000-0002-3255-2446
metadata.dc.contributor.affiliation:	Universidade Estadual do Oeste do Paraná, Centro de Ciências Exatas e Tecnológicas Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Schrödinger, Equação de Simetria Soluções positivas
Issue Date:	28-Dec-2024
Publisher:	Akademicka Platforma Czasopism
Citation:	LEHRER, Raquel; MAIA, Liliane; RUVIARO, Ricardo. A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities.Topological Methods in Nonlinear Analysis, [S. l.], p. 1–23, 2024. DOI: 10.12775/TMNA.2024.021.
Abstract:	We study the existence of positive ground or bound state solutions for a class of nonlinear Schrödinger equations: \begin{equation*}\label{P_a} -\Delta u+\lambda u=a(x)f(u), \quad u \in H^1\big(\mathbb{R}^N\big), \ N \geq 3, \end{equation*} where the function a is positive, symmetric under some group action $G$, and $\lambda$ is a positive constant. The inhomogeneous nonlinearity $f$, under very mild assumptions, is asymptotically linear or superlinear and subcritical at infinity, with $f(s)/s$, $s> 0$, not satisfying any monotonicity condition.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.12775/TMNA.2024.021
metadata.dc.relation.publisherversion:	https://apcz.umk.pl/TMNA/article/view/57371
Appears in Collections:	Artigos publicados em periódicos e afins

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