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arXiv · 1404.0792

Non radial solutions for non homogeneous Hénon equation

Marino Badiale·Gianluca Cappa
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Abstract

In this paper we study a Hénon-like equation (see equations (1) below), 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 appears. This holds for sub- and super-critical growth of the nonlinearity f.

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Marino Badiale, Gianluca Cappa. 2014-04-03. Non radial solutions for non homogeneous Hénon equation. https://arxiv.org/abs/1404.0792

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