Anisotropic (p, q)-equations with superlinear reaction

被引：1
|
作者：
Bai, Yunru [1 ]
Papageorgiou, Nikolaos S. [2 ]
Zeng, Shengda [3 ,4 ,5 ]
机构：
[1] Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Guangxi, Peoples R China
[2] Natl Tech Univ Athens, Dept Math, Zograrou Campus, Athens 15780, Greece
[3] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China
[4] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
[5] Jagiellonian Univ Krakow, Aculty Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
RICERCHE DI MATEMATICA | 2024年 / 73卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
Anisotropic regularity; Extremal constant sign solutions; Nodal solution; Critical point theory; Critical group; EQUATIONS;
D O I：
10.1007/s11587-022-00702-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Dirichlet problem driven by the anisotropic (p, q)-Laplacian and a superlinear reaction which need not satisfy the Ambrosetti-Robinowitz condition. By using variational tools together with truncation and comparison techniques and critical groups, we show the existence of at least five nontrivial smooth solutions, all with sign information: two positive, two negative and a nodal (sign-changing).
引用
收藏
页码：1737 / 1755
页数：19
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