P. J. McKenna & Wolfgang Reichel
Positive entire solutions of the singular biharmonic equation in with and are considered. We prove that there are infinitely many radial entire solutions with different growth rates close to quadratic. If is kept fixed we show that a unique minimal entire solution exists, which separates the entire solutions from those with compact support. For the special case and the function is the minimal entire solution if is kept fixed.
Submitted February 12, 2003. Published April 10, 2003.
Math Subject Classifications: 35J60.
Key Words: Singular biharmonic equation, conformal invariance.
Show me the PDF file (251K), TEX file, and other files for this article.
|Joe McKenna |
Department of Mathematics
University of Connecticut
Storrs, CT 06269, USA
|Wolfgang Reichel |
Rheinsprung 21, CH-4051 Basel, Switzerland
Return to the EJDE web page