Semilinear Elliptic Equations in Unbounded Domains

We studied some semilinear elliptic equations on the entire space R^N. Our approach was variational, and the major obstacle was the breakdown in compactness due to the unboundedness of the domain. First, we considered an asymptotically linear Scltrodinger equation under the presence of a steep poten...

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Bibliographic Details
Main Author: van Heerden, Francois A.
Format: Others
Published: DigitalCommons@USU 2004
Subjects:
Online Access:https://digitalcommons.usu.edu/etd/7146
https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8243&context=etd