Existence and non-existence of solutions for Timoshenko-type equations with variable exponents

Existence and non-existence of solutions for Timoshenko-type equations with variable exponents Full article

Journal

Nonlinear Analysis: Real World Applications
ISSN: 1468-1218

Output data

Year: 2021, Volume: 61, Pages: 103341 Pages count : 1 DOI: 10.1016/j.nonrwa.2021.103341

Tags

Local existence; Nonexistence; Timoshenko equation; Variable exponent

Authors

Antontsev Stanislav N. ^1,2 , Ferreira Jorge ³ , Pişkin Erhan ⁴ , Cordeiro Sebastião Martins Siqueira ⁵

Affiliations

1	Lavrentyev Institute of Hydrodynamics of SB RAS, Novosibirsk, Russia
2	CMAF-CIO, University of Lisbon, Portugal
3	Federal Fluminense University - UFF - VCE, Department of Exact Sciences, Av. dos Trabalhadores, 420, Volta Redonda RJ, Brazil
4	Dicle University, Department of Mathematics, 21280, Diyarbakr, Turkey
5	Federal University of Pará - UFPA, Campus of Abaetetuba, PA, Brazil

In this work, we investigate the following nonlinear Timoshenko equation with variable exponents: utt+△2u−M▽uL2(Ω)2△u+utpx−2ut=uqx−2u.By using the Faedo–Galerkin method, we prove the local existence of the solution under suitable conditions. We also investigate the nonexistence of solutions with negative initial energy

Antontsev S.N. , Ferreira J. , Pişkin E. , Cordeiro S.M.S.
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents
Nonlinear Analysis: Real World Applications. 2021. V.61. P.103341. DOI: 10.1016/j.nonrwa.2021.103341 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000657614800009
Scopus:	2-s2.0-85105691830
Elibrary:	46055190
OpenAlex:	W3157911477

DB	Citing
Scopus	18
OpenAlex	17
Elibrary	8
Web of science	14