On Liouville type theorems

On Liouville type theorems

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Lihe Wang , University of Iowa
Fine Hall 314

PLEASE NOTE SPECIAL TIME.  We will review the general theme of regularity theory and the importance of global solutions In the whole theory. Particularly we will study the situation in a cylinder and upper half space for uniformly elliptic equations either in divergent form or nondivergent form. We show, amount other things the any positive solution has to exponential grow in at least one direction and certain uniqueness.