Description

• Title:
  Ground-state solutions to a Kirchhoff-type transmission problem
• Creator:
  Li, Fuyi;
  Zhang, Ying;
  Zhu, Xiaoli;
  Liang, Zhanping
• Description:
  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, {\it On the planar Schrödinger-Poisson system}, Ann. Inst. H. Poincaré Anal. Non Linéaire {\bf 33} (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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.12.18
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 201 - 219;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.019/27452 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.019/27453
• Subject:
  Kirchhoff-type;
  transmission problems;
  ground-state solutions;
  35J20;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other