Gamma-star-shapedness for semilinear elliptic equations
GRECO, ANTONIO;
2005-01-01
Abstract
A generic semilinear equation in a star-shaped ring is considered. Any solution bounded between its boundary values is shown to be decreasing along rays starting from the origin, provided that a structural condition is satisfied. A corresponding property for the product between the solution and a (positive) power of |x| is also investigated. Applications to the Emden-Fowler and the Liouville equation are developed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.