On prescribed energy saddle-point solutions to indefinite problems

Autor: Il'yasov, Yavdat, Silva, Edcarlos D., Silva, Maxwell L.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: A minimax variational principle for saddle-point solutions with prescribed energy levels is introduced. The approach is based on the development of the linking theorem to the energy level nonlinear generalized Rayleigh quotients. An application to indefinite elliptic Dirichlet problems is presented. Among the consequences, the existence of solutions with zero-energy levels is obtained.
Comment: 9 pages
Databáze: arXiv