A note on nonradial nodal solutions to the Hénon problem in the disc

preprint2020arXivOpen access

Abstract

In this paper we consider some nodal solutions of the Hénon problem in the unit disc with Dirichlet boundary conditions and we show that they are quasiradial, that is to say they are nonradial, they have two nodal regions and their nodal line does not touch the boundary of the disc.

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