Interpolation of sum and intersection spaces of L q -type and applications to the Stokes problem in general unbounded domains

2011 ◽  
Vol 58 (1) ◽  
pp. 167-181 ◽  
Author(s):  
Paul Felix Riechwald
Keyword(s):  
Stokes Problem ◽  
Unbounded Domains ◽  
General Unbounded Domains

scholarly journals On the stokes operator in general unbounded domains

2009 ◽  
Vol 38 (1) ◽  
pp. 111-136 ◽  
Author(s):  
Reinhard FARWIG ◽  
Hideo KOZONO ◽  
Hermann SOHR
Keyword(s):  
Unbounded Domains ◽  
Stokes Operator ◽  
General Unbounded Domains

scholarly journals Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains

2008 ◽  
Vol 2008 ◽  
pp. 1-19 ◽  
Author(s):  
M. E. Amendola ◽  
L. Rossi ◽  
A. Vitolo
Keyword(s):  
Maximum Principle ◽  
Type Theorem ◽  
Unbounded Domains ◽  
Local Maximum ◽  
Maximum Principles ◽  
Gradient Term ◽  
Harnack Inequalities ◽  
General Unbounded Domains ◽  
Second Order Elliptic Equations ◽  
Weak Harnack Inequality

We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP-type estimates and weak maximum principles in general unbounded domains, a strong maximum principle, and a Liouville-type theorem.

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