Yavdat Il'yasov, Edcarlos D. Silva, Maxwell L. Silva
Abstract:
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 prescribed
energy. An application of the method to nonlinear indefinite elliptic
problems with nonlinearities that does not satisfy the
Ambrosetti-Rabinowitz growth conditions is also presented.
Submitted December 5, 2022. Published March 4, 2023
Math Subject Classifications: 35G15, 35G20, 35G25, 35G30.
Key Words: Indefinite problems; linking theorems; Rayleigh quotient.
DOI: https://doi.org/10.58997/ejde.2023.23
Show me the PDF file (321 KB), TEX file for this article.
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Yavdat Il'yasov Institute of Mathematics with Computing Centre of Ufa Federal Research Centre, RAS, Ufa, Russia email: ilyasov02@gmail.com |
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Edcarlos Domingos da Silva Department of Mathematics Federal University of Goiás 74001-970 Goiânia - GO, Brazil email: eddomingos@hotmail.com |
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Maxwell Lizete da Silva Department of Mathematics Federal University of Goiás 74001-970 Goiânia - GO, Brazil email: maxwelllizete@gmail.com |
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