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arXiv · 1906.07759

Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients

Marcos L. M. Carvalho·Yavdat Sh. Il'yasov·Carlos Alberto Santos
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Abstract

In this paper, we deal with equations of variational form which Nahari manifolds can contain more than two different types of critical points. We introduce a method of separating critical points on the Nahari manifold, based on the use of nonlinear generalized Rayleigh quotients. The method is illustrated by establishing the existence of positive solutions, ground states and multiplicity results for a two-parameter nonlinear elliptic boundary problem with polynomial nonlinearities.

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Marcos L. M. Carvalho, Yavdat Sh. Il'yasov, Carlos Alberto Santos. 2019-06-18. Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients. https://arxiv.org/abs/1906.07759

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