Positive Solutions to a General Elliptic System with Smooth FunctionsPosters, Presentations, and Papers
Date of Award2-1-2016
First AdvisorJoon Hyuk Kang, Ph.D.
AbstractThe purpose of this research is to give a sufficient condition for the existence and nonexistence of positive solutions to a rather general type of elliptic system of the Dirichlet problem on a bounded domain. This research was supported by the Office of Research and Creative Scholarship. The techniques used include upper-lower solutions, eigenvalues of operators, maximum principles, and spectrum estimates. The arguments also rely on some detailed properties of the solutions of logistic equations. These results yields algebraically computable criteria for the positive coexistence of competing species of animals in many biological models.
Citation InformationTimothy Robertson and Joon Hyuk Kang. "Positive Solutions to a General Elliptic System with Smooth Functions" (2016)
Available at: http://works.bepress.com/joon_hyukkang/1/