Localized nodal solutions for semiclassical nonlinear Kirchhoff equations

[摘要] In this article, we consider the existence of localized sign-changing solutions for the semiclassical Kirchhoff equation is a small parameter, V(x) is a positive function that has a local minimum point P. When , by using a minimax characterization of higher dimensional symmetric linking structure via the symmetric mountain pass theorem, we obtain an infinite sequence of localized sign-changing solutions clustered at the point P.

[学科分类] 数学（综合）

[关键词] Kirchhoff equations;nodal solutions;penalization method.Show me the PDF file (419 KB);TEX file for this article.