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

被引：1

作者：

Shahrouzi, Mohammad ^{[1
,2
]}

Tahamtani, Faramarz ^{[3
]}

机构：

[1] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran

[2] Jahrom Univ, Dept Math, POB 74137-66171, Jahrom, Iran

[3] Shiraz Univ, Dept Math, Coll Sci, Shiraz 71454, Iran

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年

关键词：

Existence; blow-up; weak viscoelasticity; p(x)-Laplacian; variable-exponent nonlinearities; GENERAL DECAY; WAVE-EQUATION; (P)OVER-RIGHT-ARROW(X; STABILITY; SYSTEM; ENERGY;

D O I：

10.1007/s13226-023-00521-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a weak viscoelastic 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.

引用

页数：17

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