Nonvariational and singular double phase problems for the Baouendi-Grushin operator

Bahrouni, Anouar (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a compactness result. In the second part, using topological argument, we prove the existence of weak solutions of some nonvariational problems in which this new operator is present. The present paper extends and complements some of our previous contributions related to double phase anisotropic variational integrals.

• Language: English
• Keywords: Baouendi-Grushin operator, double-phase problem, singular term, existence of solutions
• 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: 2021
• Number of pages: Str. 645-666
• Numbering: Vol. 303
• PID: 20.500.12556/RUL-131913
• UDC: 517.956
• ISSN on article: 0022-0396
• DOI: 10.1016/j.jde.2021.09.033
• COBISS.SI-ID: 79074563
• Publication date in RUL: 06.10.2021

BAHROUNI, Anouar, RǍDULESCU, Vicenţiu and REPOVŠ, Dušan, 2021, Nonvariational and singular double phase problems for the Baouendi-Grushin operator. Journal of differential equations [online]. 2021. Vol. 303, p. 645–666. [Accessed 15 April 2025]. DOI 10.1016/j.jde.2021.09.033. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=131913

Record is a part of a journal

• Title: Journal of differential equations
• Shortened title: J. differ. equ.
• Publisher: Elsevier
• ISSN: 0022-0396
• COBISS.SI-ID: 25730560

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.
• Licensing start date: 21.09.2021