Department of Mathematical Sciences
University of Cincinnati
Cincinnati, OH 45221-0025, USA
email: kormanp@math.uc.edu
Philip Korman
Abstract:
We study radial solutions of semilinear Laplace equations.
We try to understand all solutions of the problem, regardless
of the boundary behavior. It turns out that one can study
uniqueness or multiplicity properties of ground state solutions
by considering curves of solutions of the corresponding Dirichlet
and Neumann problems. We show that uniqueness of ground state
solutions can sometimes be approached by a numerical computation.
Submitted March 24, 2008. Published August 28, 2008.
Math Subject Classifications: 35J60, 65N25.
Key Words: Solution curves; ground state solutions.
Show me the PDF file (264 KB), TEX file, and other files for this article.
|
Philip Korman Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221-0025, USA email: kormanp@math.uc.edu |
|---|
Return to the EJDE web page