Some variational problems with lack of convexity and some partial differential inequalities

1990 ◽  
pp. 58-83 ◽  
Author(s):  
A. Marino ◽  
M. Tosques
Keyword(s):  
Variational Problems ◽  
Differential Inequalities ◽  
Partial Differential

SAINT-VENANT TYPE DECAY RESULTS FOR ILL-POSED ELLIPTIC PROBLEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 771-783 ◽  
Author(s):  
KAREN A. AMES ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Vital Role ◽  
Cylindrical Domain ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Decay Of Solutions ◽  
Ill Posed

Differential inequalities play a vital role in the study of ordinary and partial differential equations. In this paper we make use of first-order differential inequalities to investigate the decay of solutions to two ill-posed elliptic problems in a semi-infinite cylindrical domain.

Variational Problems and Partial Differential Equations on Implicit Surfaces

2001 ◽  
Vol 174 (2) ◽  
pp. 759-780 ◽  
Author(s):  
Marcelo Bertalmı́o ◽  
Li-Tien Cheng ◽  
Stanley Osher ◽  
Guillermo Sapiro
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Variational Problems ◽  
Implicit Surfaces ◽  
Partial Differential
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