Acta mathematica scientia, Series B >
SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS
Received date: 2006-09-16
Revised date: 2007-07-02
Online published: 2009-03-20
Supported by
Sponsored by the National NSFC under grant (10631020).
In this article, the authors consider a class of semilinear elliptic equations on fractal sets under some new conditions, which are more weaker than those in usual cases. The authors get the non-trivial and non-negative solution of the zero boundary Dirichlet problem using Mountain Pass Lemma.
Key words： Fractal; Laplacian operator; semilinear; self-similar; Intrinsic dimension
Chen Hua , He Zhenya . SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 232 -242 . DOI: 10.1016/S0252-9602(09)60024-2
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