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arXiv · 1509.07971

Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents

Woocheol Choi·Seunghyeok Kim
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Abstract

We study qualitative properties of solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents where the associated fractional Laplacian is defined in terms of either the spectra of Dirichlet Laplacian or the integral representation. As a consequence, we classify the asymptotic behavior of all finite energy solutions. Our method also provides a simple and unified approach to deal with the classical (local) Lane-Emden-Fowler equation for any dimension greater than 2.

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Woocheol Choi, Seunghyeok Kim. 2015-09-26. Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents. https://arxiv.org/abs/1509.07971

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