We are concerned with sign-changing solutions to nonlocal perturbation of the nonlinear Schrödinger equation in the whole R3. 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 / D. Cassani, Z. Liu, C. Tarsi, J. Zhang. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 186(2019 Sep), pp. 145-161. [10.1016/j.na.2019.01.025]
Multiplicity of sign-changing solutions for Kirchhoff-type equations
C. TarsiPenultimo
;
2019
Abstract
We are concerned with sign-changing solutions to nonlocal perturbation of the nonlinear Schrödinger equation in the whole R3. 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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