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arXiv · 1904.05907

The Hénon problem with large exponent in the disc

Anna Lisa Amadori·Francesca Gladiali
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Abstract

In this paper we consider the Hénon problem in the unit disc with Dirichlet boundary conditions. We study the asymptotic profile of least energy and nodal least energy radial solutions and then deduce the exact computation of their Morse index for large values of the exponent p. As a consequence of this computation a multiplicity result for positive and nodal solutions is obtained.

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Anna Lisa Amadori, Francesca Gladiali. 2019-04-11. The Hénon problem with large exponent in the disc. https://doi.org/10.1016/j.jde.2019.11.017

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