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Nonvariational and singular double phase problems for the Baouendi-Grushin operator
ID
Bahrouni, Anouar
(
Author
),
ID
Rǎdulescu, Vicenţiu
(
Author
),
ID
Repovš, Dušan
(
Author
)
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https://www.sciencedirect.com/science/article/pii/S002203962100591X
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Abstract
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
Views:
638
Downloads:
148
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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
Projects
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0292
Name:
Topologija, geometrija in nelinearna analiza
Funder:
Other - Other funder or multiple funders
Funding programme:
Ministry of Research, Innovation and Digitization, CNCS/CCCDI-UEFISCDI
Project number:
PCE 137/2021
Acronym:
PNCDI III
Funder:
ARRS - Slovenian Research Agency
Project number:
N1-0083
Name:
Forsing, fuzija in kombinatorika odprtih pokritij
Funder:
ARRS - Slovenian Research Agency
Project number:
N1-0114
Name:
Algebrajski odtisi geometrijskih značilnosti v homologiji
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