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2021 Ground-state solutions to a Kirchhoff-type transmission problem
Fuyi Li, Ying Zhang, Xiaoli Zhu, Zhanping Liang
Topol. Methods Nonlinear Anal. 57(1): 201-219 (2021). DOI: 10.12775/TMNA.2020.019

Abstract

In this paper, we consider the existence of ground-state solutions to nonlinear Kirchhoff-type transmission problems by using the methods from (Silvia Cingolani and Tobias Weth, , Ann. Inst. H. Poincaré Anal. Non Linéaire (2016), no. 1, 169-197). Here, we avoid the conditions under which the nonlinear terms of $f$ and $g$ are forms of $C^1$. In particular, when $N=2$, the existence of ground-state solutions is established to the Kirchhoff-type transmission problem with exponent-type nonlinearity.

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Fuyi Li. Ying Zhang. Xiaoli Zhu. Zhanping Liang. "Ground-state solutions to a Kirchhoff-type transmission problem." Topol. Methods Nonlinear Anal. 57 (1) 201 - 219, 2021. https://doi.org/10.12775/TMNA.2020.019

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Published: 2021
First available in Project Euclid: 24 December 2020

Digital Object Identifier: 10.12775/TMNA.2020.019

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 1 • 2021
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