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Free boundary problems for the laplace equation: A priori estimates, existence theorems, asymptotic behaviours

 

作者: A. Dervieux,   H. Kawarada,   H. Fujita,  

 

期刊: Mathematical Methods in the Applied Sciences  （WILEY Available online 1981）
卷期: Volume 3, issue 1  

页码: 38-69

 

ISSN:0170-4214

 

年代: 1981

 

DOI:10.1002/mma.1670030105

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractThis work is devoted to Free Boundary Problems with Laplace equation Δu=fin the domain and the two conditions on the Free Boundaryu= 1 and |gradu| = λ = const. In the model problems which we study, three cases arise: 1)f= 0, λ is given, 2)f= 0, λ is unknown and the length of the Free Boundary is given, 3)f≠ 0, λ = 0 (Obstacle Pr

 

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