On a nonhomogeneous, nonlinear Dirichlet eigenvalue problem

被引：2
|
作者：
Liu, Zhenhai [1 ,2 ]
Papageorgiou, Nikolaos S. S. [3 ]
机构：
[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin, Guangxi, Peoples R China
[2] Guangxi Minzu Univ, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China
[3] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens, Greece
来源：
MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 09期
基金：
中国国家自然科学基金;
关键词：
bifurcation-type result; critical groups; nonlinear regularity; positive smooth solutions; truncations; DEGENERATE ELLIPTIC EQUATION; POSITIVE SOLUTIONS; MULTIPLICITY RESULT;
D O I：
10.1002/mana.202200040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonlinear eigenvalue problem for the Dirichlet (p, q)-Laplacian with a sign-changing Caratheodory reaction. Using variational tools, truncation and comparison techniques, and critical groups, we prove an existence and multiplicity result which is global in the parameter lambda > 0(bifurcation-type theorem). Our work here complements the recent one by Papageorgiou-Qin-Radulescu, Bull. Sci. Math. 172 (2021).
引用
收藏
页码：3986 / 4001
页数：16
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