Detail publikace
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
ZENG, S. LU, Y. RADULESCU, V.
Originální název
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Elliptic inclusion systems; Existence and compactness property; Multivalued convection term; Subsolution and supersolution; Surjectivity theorem; Variable exponents double phase operator with logarithmic perturbation
Autoři
ZENG, S.; LU, Y.; RADULESCU, V.
Vydáno
24. 6. 2025
ISSN
0095-4616
Periodikum
APPLIED MATHEMATICS AND OPTIMIZATION
Ročník
92
Číslo
1
Stát
Spolková republika Německo
Strany počet
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"
}