caa a22 4500 606194320 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00030-015-0318-1 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0318-1 Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models [Elektronische Daten] [Elvise Berchio, Alberto Ferrero, Maria Vallarino] We consider least energy solutions to the nonlinear equation $${-\Delta_g u=f(r,u)}$$ - Δ g u = f ( r , u ) posed on a class of Riemannian models (M,g) of dimension $${n \geq 2}$$ n ≥ 2 which include the classical hyperbolic space $${\mathbb{H}^{n}}$$ 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. Springer Basel, 2015 Riemannian models nationallicence Least energy solutions nationallicence Partial symmetry nationallicence Berchio Elvise Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut Ferrero Alberto Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale "Amedeo Avogadro”, Viale Teresa Michel 11, 15121, Alessandria, Italy aut Vallarino Maria Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1167-1193 1021-9722 22:5<1167 2015 22 30 https://doi.org/10.1007/s00030-015-0318-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0318-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Berchio Elvise Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut NATIONALLICENCE 700 1- Ferrero Alberto Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale "Amedeo Avogadro”, Viale Teresa Michel 11, 15121, Alessandria, Italy aut NATIONALLICENCE 700 1- Vallarino Maria Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1167-1193 1021-9722 22:5<1167 2015 22 30