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arXiv · 2001.10850

A note on nonradial nodal solutions to the H\'enon problem in the disc

Francesca Gladiali·Giovanni Stegel
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Abstract

In this paper we consider some nodal solutions of the H\'enon 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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Francesca Gladiali, Giovanni Stegel. 2020-01-29. A note on nonradial nodal solutions to the H\'enon problem in the disc. https://arxiv.org/abs/2001.10850

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