In this paper we introduce a new deformation argument,in which C^(0)-group action and a new ty pe of Palais Smale condition PSP play important roles.This type of deformation results are studied in[17,21]and has many d...In this paper we introduce a new deformation argument,in which C^(0)-group action and a new ty pe 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 ex tends the results in[8].展开更多
基金The first author is supported by PRIN 2017JPCAPN“Qualitative and quantitative aspects of nonlinear PDEs”and by INdAM-GNAMPAThe second author is supported in part by Grant-in-Aid for Scientific Research(JP19H00644,JP18KK0073,JP17H02855,JP16K13771 and JP26247014)of Japan Society for the Promotion of Science.
文摘In this paper we introduce a new deformation argument,in which C^(0)-group action and a new ty pe 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 ex tends the results in[8].
