Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane

Nikola Kamburov; Boyan Sirakov

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arXiv · 1802.00843

Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane

Nikola Kamburov·Boyan Sirakov

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Abstract

We prove that positive solutions of the Lane-Emden equation in a two-dimensional smooth bounded domain are uniformly bounded for all large exponents.

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Nikola Kamburov, Boyan Sirakov. 2018-02-02. Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane. https://arxiv.org/abs/1802.00843

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