Matthew Rudd
Abstract:
We use the sub/supersolution method to analyze a semipositone Dirichlet
problem for the p-Laplacian. To find a positive solution, we therefore
focus on a related problem that produces positive subsolutions.
We establish a new nonexistence result for this subsolution problem on
general domains, discuss the existence of positive radial subsolutions
on balls, and then apply our results to problems involving particular
semipositone nonlinearities.
Published April 15, 2009.
Math Subject Classifications: 34B10, 35J20.
Key Words: semipositone problems; p-Laplacian; positive solutions.
Show me the PDF file (178 KB), TEX file, and other files for this article.
Matthew Rudd Department of Mathematics University of Idaho Moscow, ID 83844, USA email: mrudd@uidaho.edu |
Return to the table of contents
for this conference.
Return to the EJDE web page