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

被引：8

作者：

Bahrouni, Anouar ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
,4
]}

Repovs, Dusan D. ^{[5
,6
,7
]}

机构：

[1] Univ Monastir, Fac Sci, Math Dept, Monastir 5019, Tunisia

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

[4] Romanian Acad, Simion Stoilow Inst Math, POB 1-764, Bucharest 014700, Romania

[5] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia

[6] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[7] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 303卷

关键词：

Baouendi-Grushin operator; Double phase problem; Singular term; Existence of solutions; VARIABLE GROWTH; EXISTENCE; EQUATIONS; THEOREMS; SYSTEMS; SPACES;

D O I：

10.1016/j.jde.2021.09.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：645 / 666

页数：22

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