A fast interface solver for the biharmonic Dirichlet problem on polygonal domains

1998 ◽  
Vol 78 (4) ◽  
pp. 577-596 ◽  
Author(s):  
B.N. Khoromskij ◽  
G. Schmidt
Keyword(s):  
Dirichlet Problem ◽  
Polygonal Domains ◽  
Biharmonic Dirichlet Problem

scholarly journals Applications of Fourier Analysis in Homogenization of Dirichlet Problem III: Polygonal Domains

2014 ◽  
Vol 20 (3) ◽  
pp. 524-546 ◽  
Author(s):  
Hayk Aleksanyan ◽  
Henrik Shahgholian ◽  
Per Sjölin
Keyword(s):  
Dirichlet Problem ◽  
Fourier Analysis ◽  
Polygonal Domains

scholarly journals Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Yajing Zhang ◽  
Ningning Wang ◽  
Yinmei Lü ◽  
Jianghao Hao
Keyword(s):  
Dirichlet Problem ◽  
Biharmonic Equation ◽  
Critical Sobolev Exponents ◽  
Biharmonic Dirichlet Problem

We prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.

On a nonlocal generalization of the biharmonic Dirichlet problem

2010 ◽  
Vol 46 (3) ◽  
pp. 321-328 ◽  
Author(s):  
G. K. Berikelashvili ◽  
D. G. Gordeziani
Keyword(s):  
Dirichlet Problem ◽  
Biharmonic Dirichlet Problem
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