Cyril Joel Batkam
This article concerns the existence of sign-changing solutions to nonlocal Kirchhoff type problems of the form
where is a bounded domain in ( ) with smooth boundary, , , and is a continuous function. We first establish a new sign-changing version of the symmetric mountain pass theorem and then apply it to prove the existence of a sequence of sign-changing solutions with higher and higher energy.
Submitted December 17, 2015. Published June 7, 2016.
Math Subject Classifications: 35J60, 35A15, 35J20, 35J25.
Key Words: Kirchhoff type equation; sign-changing solution; multiple solutions; critical point theorem.
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| Cyril Joel Batkam |
3000 Chemin de la Cate-Sainte-Catherine
Montrel, QC, H3T 2B1, Canada
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