Year: 2019
Author: Liliane A. Maia, Elson L. Moura
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 4 : pp. 355–376
Abstract
The aim of this paper is to present a positive solution of a semilinear elliptic equation in $\mathbb{R}^{N}$ 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0014
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 4 : pp. 355–376
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Schrödinger equation asymptotically linear superlinear variational methods.