@Article{ATA-37-2,
author = {Silvia, Cingolani 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 = {<p style="text-align: justify;">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].</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.pr80.03},
url = {https://global-sci.com/article/73771/deformation-argument-under-psp-condition-and-applications}
}