Solving the biharmonic Dirichlet problem on domains with corners

2014 ◽  
Vol 288 (8-9) ◽  
pp. 854-871 ◽  
Author(s):  
Colette De Coster ◽  
Serge Nicaise ◽  
Guido Sweers
Keyword(s):  
Dirichlet Problem ◽  
Domains With Corners ◽  
Biharmonic Dirichlet Problem

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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