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.

arXiv comment20 pages, 4 figures

References in corpus (4)

• On branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method
• Existence and multiplicity results for a class of semilinear elliptic equations
• Three positive solutions of a nonlinear Dirichlet problem with competing power nonlinearities
• On orbital stability of the physical ground states of the NLS equations

Cited by in corpus (1)

• On ground states for the 2D Schrodinger equation with combined nonlinearities and harmonic potential