Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity

被引：1
作者：
Missaoui, Hlel [1 ]
Bahrouni, Anouar [1 ]
机构：
[1] Univ Monastir, Fac Sci, Math Dept, Monastir 5019, Tunisia
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 11期
关键词：
POSITIVE SOLUTIONS; NODAL SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE; BEHAVIOR; ENERGY;
D O I：
10.1063/5.0144152
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a nonlocal generalized Kirchhoff problem driven by the fractional Orlicz g-Laplace operator and involving a nonsmooth nonlinearity. Although this problem has a double nonlocality, we prove the existence of a least-energy nodal (or sign-changing) solution. Note that the tools used are minimization argument and quantitative deformation lemma.
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页数：28
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