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;
2007-01-01
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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