We prove the existence of cylindrical solutions to a semilinear elliptic problem in R^N, with the nonlinearity f satisfying a double-power behaviour (subcritical at infinity and supercritical near the origin).This result also implies the existence of solitary waves with nonvanishing angular momentum for nonlinear Schrodinger and Klein-Gordon equations.

A nonlinear elliptic equation with singular potential and applications to nonlinear field equations.

BADIALE, Marino;
2007

Abstract

We prove the existence of cylindrical solutions to a semilinear elliptic problem in R^N, with the nonlinearity f satisfying a double-power behaviour (subcritical at infinity and supercritical near the origin).This result also implies the existence of solitary waves with nonvanishing angular momentum for nonlinear Schrodinger and Klein-Gordon equations.
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M. Badiale; V. Benci; S. Rolando
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/2039
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