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arXiv · 2208.08928

On prescribed energy saddle-point solutions to indefinite problems

Yavdat Il'yasov·Edcarlos D. Silva·Maxwell L. Silva
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Abstract

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.

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Yavdat Il'yasov, Edcarlos D. Silva, Maxwell L. Silva. 2022-08-18. On prescribed energy saddle-point solutions to indefinite problems. https://arxiv.org/abs/2208.08928

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