Existence and concentration of solutions for a Kirchhoff-type problem with sublinear perturbation and steep potential well

• Published in: AIMS mathematics Vol. 8; no. 3; pp. 6432 - 6446
• Main Authors: He, Shuwen, Wen, Xiaobo
• Format: Journal Article
• Language: English
• Published: AIMS Press 2023
• Subjects: kirchhoff-type problem; steep potential well; variational methods

In this paper, we consider the following nonlinear Kirchhoff-type problem with sublinear perturbation and steep potential well <disp-formula> <tex-math id="FE1"> \begin{document}$ \begin{eqnarray*} \left \{\begin{array}{ll} -\Big(a+b\int_{\mathbb{R}^3}|\nabla u|^2dx\Big)\Delta...