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 [HT],[IT]] and has many different applications. 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 Berestycki-Lions type conditions, we show the existence of infinitely many solutions. This extends the results in [ByT].

Deformation argument under PSP condition and applications

Silvia Cingolani;
2021-01-01

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 [HT],[IT]] and has many different applications. 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 Berestycki-Lions type conditions, we show the existence of infinitely many solutions. This extends the results in [ByT].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/319013
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