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Constrained radial symmetry for monotone elliptic quasilinear operators

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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 our problem is shown to be either a ball centered at the origin or an annulus centered at the origin. In the special case of the Laplace equation, a result of approximate radial symmetry is also obtained. Proofs are based on comparisons with radial solutions.

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  1. Department of Mathematics and Informatics, University of Cagliari, Via Ospedale 72, 09124, Cagliari, Italy

    Antonio Greco

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  1. Antonio Greco
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Correspondence to Antonio Greco.

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Greco, A. Constrained radial symmetry for monotone elliptic quasilinear operators. JAMA 121, 223–234 (2013). https://doi.org/10.1007/s11854-013-0033-y

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  • DOI: https://doi.org/10.1007/s11854-013-0033-y

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