Affiliation:
1. College of Science, Guilin University of Technology, Guilin, Guangxi 541004, China
Abstract
In this paper, we study the Kirchhoff-type equation:
where
,
,
, and
.
and
are vanishing at infinity. With the aid of the quantitative deformation lemma and constraint variational method, we prove the existence of a sign-changing solution
to the above equation. Moreover, we obtain that the sign-changing solution
has exactly two nodal domains. Our results can be seen as an improvement of the previous literature.
Funder
Natural Science Foundation of Guangxi Province
Subject
Applied Mathematics,General Physics and Astronomy
Cited by
2 articles.
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