A planar Kirchhoff equation with exponential growth and double nonlocal term

被引:0
作者
Tordecilla, Jesus Leon [1 ]
机构
[1] Univ Nacl Colombia, Escuela Pregrad Direcc Acad, Sede La Paz, Km 9 Via Valledupar, La Paz, Cesar, Colombia
关键词
Kirchhoff equation; Nonlocal term; Exponential growth; Trudinger-Moser inequality;
D O I
10.1016/j.jmaa.2024.128336
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the existence of a positive solution for an elliptic problem of the Kirchhoff type involving a nonlocal operator. The nonlinearity considered in the equation combined a nonlocal term with an exponential growth governed by the Trudinger-Moser inequality. (c) 2024 The Author(s). Published by Elsevier Inc.
引用
收藏
页数:8
相关论文
共 18 条
  • [1] Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
    Alves, Claudianor O.
    Covei, Dragos-Patru
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 23 : 1 - 8
  • [2] Bernstein S., 1940, B ACAD SCI URSS M, V4, P17
  • [3] Planar Kirchhoff equations with critical exponential growth and trapping potential
    Chen, Sitong
    Radulescu, Vicentiu D.
    Tang, Xianhua
    Wen, Lixi
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (02) : 1061 - 1089
  • [4] Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth
    Chen, Sitong
    Tang, Xianhua
    Wei, Jiuyang
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (01):
  • [5] On a nonhomogeneous Kirchhoff-type elliptic problem with critical exponential in dimension two
    Chen, Wenjing
    Yu, Fang
    [J]. APPLICABLE ANALYSIS, 2022, 101 (02) : 421 - 436
  • [6] Gilbarg D., 2001, Classics in Mathematics
  • [7] Hewitt E., 1975, REAL ABSTRACT ANAL
  • [8] Kesavan S., 1989, TOPICS FUNCTIONAL AN
  • [9] Kirchhoff G., 1883, Mechanik
  • [10] Lions J. L., 1978, North-Holland Math. Stud., V30, P284