Existence and blow-up results for a weak-viscoelastic plate equation involving $$p(x)-$$ p ( x ) - Laplacian operator and variable-exponent nonlinearities

Mohammad Shahrouzi () and Faramarz Tahamtani ()
Additional contact information
Mohammad Shahrouzi: Ferdowsi University of Mashhad
Faramarz Tahamtani: Shiraz University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 813-829

Abstract: Abstract This paper is concerned with a weak viscoelastic $$p(x)-$$ p ( x ) - Laplacian plate equation with variable-exponent nonlinearities. By using the faedo-Galerkin method and the well-known contraction mapping theorem, we prove the local existence of solutions. Moreover, the blow up of solutions has been proved with negative initial energy as well as positive when the variable exponents and weak viscoelastic terms satisfy appropriate conditions.

Keywords: Existence; blow-up; weak viscoelasticity; $$p(x)-$$ p ( x ) - Laplacian; variable-exponent nonlinearities; 35B44; 35N10; 35G31 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-023-00521-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:56:y:2025:i:2:d:10.1007_s13226-023-00521-z

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-023-00521-z

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().