Double phase implicit obstacle problems with convection term and multivalued operator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148504" target="_blank" >RIV/00216305:26220/23:PU148504 - isvavai.cz</a>
Result on the web
<a href="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000944369600001" target="_blank" >https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000944369600001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219530523500033" target="_blank" >10.1142/S0219530523500033</a>
Alternative languages
Result language
angličtina
Original language name
Double phase implicit obstacle problems with convection term and multivalued operator
Original language description
This paper is devoted to studying a complicated implicit obstacle problem involving a nonhomogenous differential operator, called double phase operator, a nonlinear convection term (i.e. a reaction term depending on the gradient), and a multivalued term which is described by Clarke's generalized gradient. We develop a general framework to deliver an existence result for the double phase implicit obstacle problem under consideration. Our proof is based on the Kakutani-Ky Fan fixed point theorem together with the theory of nonsmooth analysis and a surjectivity theorem for multivalued mappings generated by the sum of a maximal monotone multivalued operator and a bounded pseudomonotone mapping.
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Analysis and Applications
ISSN
0219-5305
e-ISSN
1793-6861
Volume of the periodical
21
Issue of the periodical within the volume
4
Country of publishing house
SG - SINGAPORE
Number of pages
26
Pages from-to
1013-1038
UT code for WoS article
000944369600001
EID of the result in the Scopus database
2-s2.0-85149983079