Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

The present article deals with the existence of weak solutions to a class of -Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while imposing suitable assumptions on the source term. Furthermore,...

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Bibliographic Details
Published inNonautonomous Dynamical Systems Vol. 11; no. 1; pp. 213 - 259
Main Authors Allalou, Mouad, Raji, Abderrahmane
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2024
Subjects
35D30
35J25
35J60
Kirchhoff-type
nonlocal problems
p(z)-kirchhoff-type
variable exponents
weak solution
Young measures
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ISSN2353-0626
2353-0626
DOI10.1515/msds-2024-0006

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Summary:The present article deals with the existence of weak solutions to a class of -Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while imposing suitable assumptions on the source term. Furthermore, we utilize the theory of Young measures.
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2024-0006