Existence and decay results for a von Karman equation with variable exponent nonlinearities

Tae Gab Ha; Sun Hye Park

doi:10.1002/mma.7372

Existence and decay results for a von Karman equation with variable exponent nonlinearities

Tae Gab Ha
, Sun Hye Park^*

^*Corresponding author for this work

Department of Mathematics

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

5 Scopus citations

Abstract

In this article, we consider a von Karman equation with variable exponent nonlinearities (Formula presented.) in a bounded domain (Formula presented.). We firstly discuss an existence result of solutions by utilizing Faedo-Galerkin approximation technique. Then, we undertake an investigation of asymptotic stability to the solutions by making use of the multiplier method.

Original language	English
Pages (from-to)	9475-9486
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	11
DOIs	https://doi.org/10.1002/mma.7372
State	Published - 2021.07.30

Keywords

existence of solution
stability
variable exponent
von Karman equation

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1002/mma.7372

Cite this

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title = "Existence and decay results for a von Karman equation with variable exponent nonlinearities",

abstract = "In this article, we consider a von Karman equation with variable exponent nonlinearities (Formula presented.) in a bounded domain (Formula presented.). We firstly discuss an existence result of solutions by utilizing Faedo-Galerkin approximation technique. Then, we undertake an investigation of asymptotic stability to the solutions by making use of the multiplier method.",

keywords = "existence of solution, stability, variable exponent, von Karman equation",

author = "Ha, \{Tae Gab\} and Park, \{Sun Hye\}",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

year = "2021",

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doi = "10.1002/mma.7372",

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T1 - Existence and decay results for a von Karman equation with variable exponent nonlinearities

AU - Ha, Tae Gab

AU - Park, Sun Hye

PY - 2021/7/30

Y1 - 2021/7/30

N2 - In this article, we consider a von Karman equation with variable exponent nonlinearities (Formula presented.) in a bounded domain (Formula presented.). We firstly discuss an existence result of solutions by utilizing Faedo-Galerkin approximation technique. Then, we undertake an investigation of asymptotic stability to the solutions by making use of the multiplier method.

AB - In this article, we consider a von Karman equation with variable exponent nonlinearities (Formula presented.) in a bounded domain (Formula presented.). We firstly discuss an existence result of solutions by utilizing Faedo-Galerkin approximation technique. Then, we undertake an investigation of asymptotic stability to the solutions by making use of the multiplier method.

KW - existence of solution

KW - stability

KW - variable exponent

KW - von Karman equation

UR - https://www.scopus.com/pages/publications/85103104480

U2 - 10.1002/mma.7372

DO - 10.1002/mma.7372

M3 - Journal article

AN - SCOPUS:85103104480

SN - 0170-4214

VL - 44

SP - 9475

EP - 9486

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 11

ER -

Existence and decay results for a von Karman equation with variable exponent nonlinearities

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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