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Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models

Abstract

We consider least energy solutions to the nonlinear equation -\Delta u=f(r,u) posed on a class of Riemannian models (M,g) of dimension n>= 2 which include the classical hyperbolic space H^n as well as manifolds with unbounded sectional geometry. Partial symmetry and existence of least energy solutions is proved for quite general nonlinearities f(r, u), where r denotes the geodesic distance from the pole of M

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PORTO@iris (Publications Open Repository TOrino - Politecnico di Torino)

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Last time updated on 30/10/2019

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