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Symmetry of large solutions of nonlinear elliptic equations in a ball |
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| Authors: | Alessio Porretta,Laurent Vé ron |
| Affiliation: | a Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy b Laboratoire de Mathématiques et Physique Théorique, CNRS UMR 6083, Université François Rabelais, Tours 37200, France |
| Abstract: | Let g be a locally Lipschitz continuous real-valued function which satisfies the Keller-Osserman condition and is convex at infinity, then any large solution of −Δu+g(u)=0 in a ball is radially symmetric. |
| Keywords: | Elliptic equations Boundary blow-up Keller-Osserman condition Radial symmetry Spherical Laplacian |
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