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Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs

✍ Scribed by Cristian Enache


Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
193 KB
Volume
17
Category
Article
ISSN
1021-9722

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✍ Luı́s Almeida; Lucio Damascelli; Yuxin Ge 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 225 KB

We prove some symmetry theorems for positive solutions of elliptic equations in some noncompact manifolds, which generalize and extend symmetry results known in the case of the euclidean space R n . The (variational) technique that we use relies on Sobolev inequalities available for manifolds togeth