Combined effects of singular and superlinear nonlinearities in singular double phase problems in RN

被引：23
|
作者：
Liu, Wulong [1 ]
Winkert, Patrick [2 ]
机构：
[1] Jiangxi Univ Sci & Technol, Sch Sci, Ganzhou 341000, Jiangxi, Peoples R China
[2] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 02期
关键词：
Double phase operator; Fibering map; Multiple solutions; Nehari manifold; Singular problems; Unbounded domain; REGULARITY; EXISTENCE; MINIMIZERS; EQUATIONS; CALCULUS;
D O I：
10.1016/j.jmaa.2021.125762
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with multiplicity results for parametric singular double phase problems in RN via the Nehari manifold approach. It is shown that the problem under consideration has at least two nontrivial weak solutions provided the parameter is sufficiently small. The idea is to split the Nehari manifold into three disjoint parts minimizing the energy functional on two of them. The third set turns out to be the empty set for small values of the parameter. (C) 2021 Elsevier Inc. All rights reserved.
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页数：19
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