On semilinear equations with free boundary conditions on stratified Lie groups

Choudhuri, Debajyoti (author), Repovš, Dušan (author)

In this paper we establish existence of a solution to a semilinear equation with free boundary conditions on stratified Lie groups. In the process, a monotonicity condition is proved, which is quintessential in establishing the regularity of the solution.

• Language: English
• Keywords: Dirichlet free boundary value problem, stratified Lie group, sub-Laplacian
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 17 str.
• Numbering: Vol. 518, iss. 1, art. 126677
• PID: 20.500.12556/RUL-141216
• UDC: 517.956
• ISSN on article: 0022-247X
• DOI: 10.1016/j.jmaa.2022.126677
• COBISS.SI-ID: 122246403
• Publication date in RUL: 26.09.2022

Record is a part of a journal

• Title: Journal of mathematical analysis and applications
• Shortened title: J. math. anal. appl.
• Publisher: Elsevier
• ISSN: 0022-247X
• COBISS.SI-ID: 3081231

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.