We give sufficient conditions ensuring that any positive classical solution (u,v) of an elliptic system in the whole n-dimensional space has the symmetry property u=v. As an application, we improve some known results on Sobolev-critical elliptic systems of Schrodinger type. Our techniques apply to some supercritical problems as well. We also obt...
Creator:
Quittner, Pavol (Comenius University in Bratislava)
Created:
2012-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Keywords: Low Reynolds number; locomotion; symmetry-breaking; synchronization; cilia; optimizationAbstract: Fluid mechanics plays a crucial role in many cellular processes. One example is the external fluid mechanics of motile cells such as bacteria, spermatozoa, algae, and essentially half of the microorganisms on earth. The most commonly-studi...
Creator:
Lauga, Eric (University of California, San Diego)
Created:
2010-06-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.