Exponential decay of the solutions for nonlinear multiharmonic equations

The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation { ( − Δ ) K u + a ( x ) u = g ( x , u ) , u ∈ H K ( R N ) ⋂ C 2 K ( R N ) , where the condition u ∈ H K ( R N ) plays the role of a boundary value condition.

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Bibliographic Details
Published in:Nonlinear analysis 2008-10, Vol.69 (7), p.1953-1965
Main Authors: Deng, Yinbin, Jin, Lingyu
Format: Article
Language:English
Subjects:
Decay
Exact sciences and technology
Exponential decay
Fundamental solutions
Mathematical analysis
Mathematics
Multiharmonic equations
Nonlinearity
Sciences and techniques of general use
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Summary:The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation { ( − Δ ) K u + a ( x ) u = g ( x , u ) , u ∈ H K ( R N ) ⋂ C 2 K ( R N ) , where the condition u ∈ H K ( R N ) plays the role of a boundary value condition.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.07.036