Year: 2021
Author: Silvia Cingolani, Kazunaga Tanaka
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 2 : pp. 191–208
Abstract
In this paper we introduce a new deformation argument, in which $C^0$-group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17,21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8].
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2021.pr80.03
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 2 : pp. 191–208
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Deformation theory nonlinear elliptic equations radially symmetric solutions strip-like domains Pohozaev functional.