A Note on Existence of a Bound State for a Non-Autonomous Nonlinear Scalar Field Equation  

作　　者：Liliane A.Maia Elson L.Moura 

机构地区：[1]Departamento de Matemática,Universidade de Brasília,70910-900 Brasilia,Brazil [2]Universidade Federal dos Vales do Jequitinhonha e Mucuri,39803-371 Teofilo Otoni-MG,Brazil

出　　处：《Analysis in Theory and Applications》2019年第4期355-376,共22页分析理论与应用（英文刊）

基　　金：partially supported by CNPq/Brazil;PROEX/CAPES;FAPDF 0193.001765/2017;partially supported by UFVJM.

摘　　要：The aim of this paper is to present a positive solution of a semilinear elliptic equation in RN with non-autonomous non-linearities which are not necessarily pure-powers,nor homogeneous,and which are superlinear or asymptotically linear at infinity.The proof is variational combined with topological arguments.

关 键 词：SCHRODINGER EQUATION ASYMPTOTICALLY linear SUPERLINEAR variational methods 

分 类 号：O175.25[理学—数学]