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arXiv · 2312.07164

New sign-changing solutions for the 2D Lane-Emden problem with large exponents

Angela Pistoia·Tonia Ricciardi
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Abstract

We construct a new family of sign-changing solutions for a two-dimensional Lane-Emden problem with large exponent whose shape resembles a tower with alternating sign of bubbles solving different singular Liouville equations on the whole plane.

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Angela Pistoia, Tonia Ricciardi. 2023-12-12. New sign-changing solutions for the 2D Lane-Emden problem with large exponents. https://arxiv.org/abs/2312.07164

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