Constrained radial symmetry for monotone elliptic quasilinear operators
GRECO, ANTONIO
2013-01-01
Abstract
Some overdetermined problems associated to monotone elliptic quasilinear operators are investigated. A model operator is the p-Laplacian. Assuming that a solution exists, the domain of the problem is shown to be a ball centered at the origin, or an annulus centered at the origin. In the special case of Laplace equation, a result of approximate radial symmetry is also obtained. Proofs are based on comparison with radial solutions.Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.