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arXiv · 2108.07989

Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents

Sadaf Habibi·Futoshi Takahashi
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Abstract

In this paper we are concerned with the least energy solutions to the Lane-Emden problem driven by an anisotropic operator, so-called the Finsler $N$-Laplacian, on a bounded domain in $\mathbb{R}^N$. We prove several asymptotic formulae as the nonlinear exponent gets large.

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Sadaf Habibi, Futoshi Takahashi. 2021-08-18. Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents. https://arxiv.org/abs/2108.07989

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