Prescribed energy saddle-point solutions of nonlinear indefinite problems

Electronic Journal of Differential Equations

article

Yavdat Il'yasov¹  Edcarlos Domingos da Silva²  Maxwell Lizete da Silva² 

[1]Institute of Mathematics with Computing Centre of Ufa Federal Research Centre

[2]Department of Mathematics Federal University of Goiás 74001-970 Goiânia - GO

关键词: Indefinite problems;    linking theorems;    Rayleigh quotient;   

DOI  :  10.58997/ejde.2023.23

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

A minimax variational method for finding mountain pass-type solutions with prescribed energy levels is introduced. The method is based on application of the Linking Theorem to the energy-level nonlinear Rayleigh quotients which critical points correspond to the solutions of the equation with prescribedenergy. An application of the method to nonlinear indefinite ellipticproblems with nonlinearities that does not satisfy theAmbrosetti-Rabinowitz growth conditions is also presented.

【 授权许可】

CC BY