Counter-examples to boundary estimates for two-dimensional elliptic systems

1983 ◽  
Vol 44 (1-3) ◽  
pp. 59-70
Author(s):  
Michael Meier
Keyword(s):  
Elliptic Systems ◽  
Two Dimensional ◽  
Boundary Estimates

scholarly journals Symmetry Results for Nonvariational Quasi-Linear Elliptic Systems

2010 ◽  
Vol 10 (4) ◽  
Author(s):  
Luigi Montoro ◽  
Berardino Sciunzi ◽  
Marco Squassina
Keyword(s):  
Half Space ◽  
Comparison Principle ◽  
Axial Symmetry ◽  
Elliptic Systems ◽  
Radial Symmetry ◽  
Bounded Domains ◽  
Two Dimensional ◽  
Regular Solutions ◽  
Variational Form ◽  
Weak Comparison Principle

AbstractBy virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two dimensional case, we study the system when set in a half-space.

scholarly journals Strong unique continuation for two-dimensional anisotropic elliptic systems

2019 ◽  
Vol 147 (5) ◽  
pp. 2171-2183
Author(s):  
Rulin Kuan ◽  
Gen Nakamura ◽  
Satoshi Sasayama
Keyword(s):  
Unique Continuation ◽  
Elliptic Systems ◽  
Two Dimensional
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