KIRCHHOFF-TYPE DIFFERENTIAL INCLUSION PROBLEMS INVOLVING THE FRACTIONAL LAPLACIAN AND STRONG DAMPING

被引：4

作者：

Xiang, Mingqi ^{[1
]}

Zhang, Binlin ^{[2
]}

Hu, Die ^{[1
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2020年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional p-Laplacian; Kirchhoff-type problem; differential inclusion; Galerkin approximation; WEAK SOLUTIONS; BLOW-UP; EXISTENCE; EQUATIONS; MULTIPLICITY;

D O I：

10.3934/era.2020034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate the existence of weak solutions for a Kirchhoff-type differential inclusion wave problem involving a discontinuous set-valued term, the fractional p-Laplacian and linear strong damping term. The existence of weak solutions is obtained by using a regularization method combined with the Galerkin method.

引用

页码：651 / 669

页数：19

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