Rayleigh quotients of the level set manifolds related to the nonlinear PDE

Abstract

The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply the nonlinear generalized Rayleigh quotient method.

20 pages, 4 figures

References in corpus (1)

• Three positive solutions of a nonlinear Dirichlet problem with competing power nonlinearities