On a sharp weighted Sobolev inequality on the upper half-space and its applications

Jianjun Zhang (), Diego Felix () and Everaldo Medeiros ()
Additional contact information
Jianjun Zhang: Chongqing Jiaotong University
Diego Felix: Universidade Federal da Paraíba
Everaldo Medeiros: Universidade Federal da Paraíba

Partial Differential Equations and Applications, 2022, vol. 3, issue 2, 1-17

Abstract: Abstract In this paper, we establish a sharp weighted Sobolev inequality on the upper half-space. We also discourse existence and nonexistence of minimizer . As an application, we study a quasilinear problem on the upper half-space.

Keywords: Weighted Sobolev inequality; Trace inequality; Upper half-space; Minimizers; Neumann problem; 35J85; 47J20; 46E35 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-022-00165-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:3:y:2022:i:2:d:10.1007_s42985-022-00165-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-022-00165-4

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().