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

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.

Keywords

Baouendi-Grushin operator;double-phase problem;singular term;existence of solutions;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 79074563 Link will open in a new window
ISSN: 0022-0396
Views: 186
Downloads: 62
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 645-666
Issue: ǂVol. ǂ303
Chronology: Dec. 2021
DOI: 10.1016/j.jde.2021.09.033
ID: 13652949