Multiple and least energy sign-changing solutions for Schrodinger-Poisson equations in R3 with restraint
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 2017, Vol 13, Issue 3
Abstract
In this paper, we study the existence of multiple sign-changing solutions with a prescribed Lp+1−norm and theexistence of least energy sign-changing restrained solutions for the following nonlinear Schr¨odinger-Poisson system:By choosing a proper functional restricted on some appropriate subset to using a method of invariant sets of descending flow,we prove that this system has infinitely many sign-changing solutions with the prescribed Lp+1−norm and has a least energy forsuch sign-changing restrained solution for p ∈ (3, 5). Few existence results of multiple sign-changing restrained solutions areavailable in the literature. Our work generalize some results in literature.
Authors and Affiliations
Zhaohong Sun
Keywords
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- EP ID EP653366
- DOI 10.24297/jap.v13i3.5938
- Views 87
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