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.

Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models / Berchio, Elvise; Ferrero, Alberto; Vallarino, Maria. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 22:5(2015), pp. 1167-1193. [10.1007/s00030-015-0318-1]

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

BERCHIO, ELVISE;VALLARINO, MARIA
2015

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2624938
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