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

https://link.springer.com/article/10.1007/s00245-025-10278-y

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"
}