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Deformation Argument under PSP Condition and Applications

Deformation Argument under PSP Condition and Applications
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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].

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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.

Author Details

Silvia Cingolani

Kazunaga Tanaka

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