Publication detail
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
ZENG, S. LU, Y. RADULESCU, V.
Original Title
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
Type
journal article in Web of Science
Language
English
Original Abstract
In this paper, we investigate a class of variable exponent double phase elliptic inclusion systems involving anisotropic partial differential operators with logarithmic perturbation as well as two fully coupled multivalued terms, one of them is defined in the domain and the other is defined on the boundary, respectively. Firstly, under the suitable coercive conditions, the existence of a weak solution for the double phase elliptic inclusion systems is verified via applying a surjectivity theorem concerning multivalued pseudomonotone operators. Then, when the elliptic inclusion system is considered in non-coercive framework, we employ the sub-supersolution method to establish the existence and compactness results. Finally, we deliver several solvability properties of some special cases with respect to the elliptic inclusion system under consideration via constructing proper sub- and super-solutions.
Keywords
Elliptic inclusion systems; Existence and compactness property; Multivalued convection term; Subsolution and supersolution; Surjectivity theorem; Variable exponents double phase operator with logarithmic perturbation
Authors
ZENG, S.; LU, Y.; RADULESCU, V.
Released
24. 6. 2025
ISBN
0095-4616
Periodical
APPLIED MATHEMATICS AND OPTIMIZATION
Year of study
92
Number
1
State
Federal Republic of Germany
Pages count
41
URL
BibTex
@article{BUT198264,
author="Shengda {Zeng} and Yasi {Lu} and Vicentiu {Radulescu}",
title="Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections",
journal="APPLIED MATHEMATICS AND OPTIMIZATION",
year="2025",
volume="92",
number="1",
pages="41",
doi="10.1007/s00245-025-10278-y",
issn="0095-4616",
url="https://link.springer.com/article/10.1007/s00245-025-10278-y"
}