Constrained radial symmetry for monotone elliptic quasilinear operators

GRECO, ANTONIO

2013-01-01

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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.