Multiple sign-changing solutions for superlinear (p, q)-equations in symmetrical expanding domains

被引：3
作者：
Liu, Wulong [1 ]
Dai, Guowei [2 ]
Winkert, Patrick [3 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[3] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 191卷
关键词：
Lusternik-Schnirelmann category; (p; q)-equation; Sign-changing solution; Superlinear problem; Symmetrical expanding domain; NONLINEAR SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; MULTIBUMP SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE; NUMBER; TOPOLOGY;
D O I：
10.1016/j.bulsci.2024.103393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study quasilinear elliptic equations defined on symmetrical expanding domains driven by the (p, q)Laplacian and with a superlinear right-hand side. Based on the Lusternik-Schnirelmann category we prove the existence of at least gamma(omega lambda \ {0}) pairs (+/- u) of odd weak solutions with precisely two nodal domains, where gamma stands for the genus. (c) 2024 Elsevier Masson SAS. All rights reserved.
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页数：21
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