Existence and Asymptotic Behavior of Ground State Solutions to Kirchhoff-Type Equations of General Convolution Nonlinearity with a Steep Potential Well

Li Zhou and Chuanxi Zhu
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Li Zhou: Department of Mathematics, Nanchang University, Nanchang 330031, China
Chuanxi Zhu: Department of Mathematics, Nanchang University, Nanchang 330031, China

Mathematics, 2022, vol. 10, issue 5, 1-11

Abstract: In this paper, we consider a new kind of Kirchhoff-type equation which is stated in the introduction. Under certain assumptions on potentials, we prove by variational methods that the equation has at least a ground state solution and investigate the asymptotic behavior of solutions.

Keywords: Kirchhoff equation; ground state solutions; asymptotic behavior (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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