Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0198264" target="_blank" >RIV/00216305:26220/26:0198264 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00245-025-10278-y" target="_blank" >https://link.springer.com/article/10.1007/s00245-025-10278-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00245-025-10278-y" target="_blank" >10.1007/s00245-025-10278-y</a>
Alternative languages
Result language
angličtina
Original language name
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied mathematics & optimization
ISSN
0095-4616
e-ISSN
1432-0606
Volume of the periodical
92
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
41
Pages from-to
1-41
UT code for WoS article
001514433900004
EID of the result in the Scopus database
2-s2.0-105008807970