Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball. Issue 2 (21st March 2018)

• Record Type: Journal Article
• Authors: Morris, Quinn; Shivaji, Ratnasingham; Sim, Inbo
• Is Part Of: Proceedings. Volume 148:Issue 2(2018)
• Page Start: 409
• Page End: 428
• Publication Date: 2018-03-21
• Subjects: semipositone, -- p-Laplacian, -- nonlinear boundary conditions; Primary 35J92, -- Secondary 35J20; Mathematics -- Periodicals; 510
• DOI: 10.1017/S0308210517000452
• Languages: English
• ISSNs: 0308-2105

Abstract

Abstract : We prove the existence of positive radial solutions to a class of semipositone p -Laplacian problems on the exterior of a ball subject to Dirichlet and nonlinear boundary conditions. Using variational methods we prove the existence of a solution, and then use a priori estimates to prove the positivity of the solution.