Abstract
ABSTRACT In this article, we consider the following new Kirchhoff-type problem: where a and b are positive constants, is a bounded domain with boundary , with if , and if N = 1, 2. We show that the problem possesses infinitely many sign-changing solutions by using combination of invariant sets of descent flow and the Ljusternik–Schnirelman type minimax method. And an example for p = 2 is illustrated our results.
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