Existence and non-existence of solutions for Timoshenko-type equations with variable exponents
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we investigate the following nonlinear Timoshenko variable exponents: u(tt) + Delta(2)u - M (parallel to del u parallel to(2)(L2(Omega))) Delta u + vertical bar u(t)vertical bar(p(x)-2) u(t) = vertical bar u vertical bar(q(x)-2)u. 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. Published by Elsevier Ltd.
Açıklama
Anahtar Kelimeler
Local Existence, Nonexistence, Timoshenko Equation, Variable Exponent
Kaynak
Nonlinear Analysis-Real World Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
61
