Universal potential estimates for 1 < p <= 2-1 dagger n

doi:10.3934/mine.2023057

CSpace

	Universal potential estimates for 1 < p <= 2-1 dagger n
	Nguyen, Quoc-Hung 1; Phuc, Nguyen Cong 2
	2023
发表期刊	MATHEMATICS IN ENGINEERING
卷号	5 期号:3 页码:1-24
摘要	We extend the so-called universal potential estimates of Kuusi-Mingione type (J. Funct. Anal. 262: 4205-4269, 2012) to the singular case 1 < p <= 2 - 1/n for the quasilinear equation with measure data - div(A(x, Vu)) = mu in a bounded open subset Omega of Rn, n > 2, with a finite signed measure mu in Omega. The operator div(A(x, Vu)) is modeled after the p-Laplacian Delta pu := div (\|Vu\|p-2Vu), where the nonlinearity A(x, xi) (x, xi E Rn) is assumed to satisfy natural growth and monotonicity conditions of order p, as well as certain additional regularity conditions in the x-variable.
关键词	pointwise estimate potential estimate Wolff?s potential Riesz?s potential fractional maximal function Caldero?n space p-Laplacian quasilinear equation measure data
DOI	10.3934/mine.2023057
收录类别	SCI
语种	英语
资助项目	Academy of Mathematics and Systems Science, Chinese Academy of Sciences startup fund ; National Natural Science Foundation of China[12050410257] ; National Natural Science Foundation of China[12288201] ; National Key R&D Program of China[2021YFA1000800] ; Simons Foundation[426071]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000877771500001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60528
专题	中国科学院数学与系统科学研究院
通讯作者	Nguyen, Quoc-Hung
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA
推荐引用方式 GB/T 7714	Nguyen, Quoc-Hung,Phuc, Nguyen Cong. Universal potential estimates for 1 < p <= 2-1 dagger n[J]. MATHEMATICS IN ENGINEERING,2023,5(3):1-24.
APA	Nguyen, Quoc-Hung,&Phuc, Nguyen Cong.(2023).Universal potential estimates for 1 < p <= 2-1 dagger n.MATHEMATICS IN ENGINEERING,5(3),1-24.
MLA	Nguyen, Quoc-Hung,et al."Universal potential estimates for 1 < p <= 2-1 dagger n".MATHEMATICS IN ENGINEERING 5.3(2023):1-24.