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

页码：3986 / 4001

页数：16

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