We are concerned with sign-changing solutions to nonlocal perturbation of the nonlinear Schrödinger equation in the whole R 3 . By using the method of invariant sets of descending flow, we prove the existence of multiple sign-changing solutions provided the perturbation is sufficiently small.
Multiplicity of sign-changing solutions for Kirchhoff-type equations
Cassani, Daniele;Zhang, Jianjun
2019-01-01
Abstract
We are concerned with sign-changing solutions to nonlocal perturbation of the nonlinear Schrödinger equation in the whole R 3 . By using the method of invariant sets of descending flow, we prove the existence of multiple sign-changing solutions provided the perturbation is sufficiently small.
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