In this paper we study a Hénon-like equation, where the nonlinearity f (t) is not homogeneous (i.e., it is not a power). By minimization on the Nehari manifold, we prove that for large values of the parameter α there is a breaking of symmetry and non radial solutions appear. This holds for sub- and super-critical growth of the nonlinearity f .
Non radial solutions for non homogeneous Hénon equation
BADIALE, Marino;
2014-01-01
Abstract
In this paper we study a Hénon-like equation, where the nonlinearity f (t) is not homogeneous (i.e., it is not a power). By minimization on the Nehari manifold, we prove that for large values of the parameter α there is a breaking of symmetry and non radial solutions appear. This holds for sub- and super-critical growth of the nonlinearity f .
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