Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774102 | Journal of Differential Equations | 2017 | 22 Pages |
Abstract
We consider the problem(1){Sk(D2u)=λ|x|Ï(1âu)qin B,u<0in B,u=0on âB, where B denotes the unit ball in Rn, n>2k (kâN), λ>0, q>k and Ïâ¥0. We study the existence, multiplicity and uniqueness of radially symmetric bounded solutions of (1). The methodology for obtaining our results is based on a dynamical systems approach. For this, we introduce a new transformation which reduces problem (1) to an autonomous two-dimensional generalized Lotka-Volterra system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Justino Sánchez, Vicente Vergara,