@Article{ATA-37-191, author = {Cingolani , Silvia and Tanaka , Kazunaga}, title = {Deformation Argument under PSP Condition and Applications}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {2}, pages = {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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.pr80.03}, url = {http://global-sci.org/intro/article_detail/ata/18771.html} }