On an Anisotropic Eigenvalue Problem

被引：0
|
作者：
Zhenhai Liu
Nikolaos S. Papageorgiou
机构：
[1] Yulin Normal University,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing
[2] Guangxi Minzu University,Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, College of Mathematics and Physics
[3] National Technical University,Department of Mathematics
来源：
Results in Mathematics | 2023年 / 78卷
关键词：
Variable Lebesgue and Sobolev spaces; truncations and comparisons; positive solutions; minimal solutions; bifurcation-type theorem; 35J10; 35J70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a nonlinear eigenvalue problem driven by the anisotropic (p, q)-Laplacian. Using variational tools and truncation and comparison techniques, we show the existence of a continuous spectrum (a bifurcation-type theorem). We also show the existence of a minimal positive solution and determine the properties of the minimal solution map.
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