# Minimal energy solutions to the fractional Lane–Emden system: Existence and singularity formation

@article{Choi2019MinimalES,
title={Minimal energy solutions to the fractional Lane–Emden system: Existence and singularity formation},
author={Woocheol Choi and Seunghye Kim},
journal={Revista Matem{\'a}tica Iberoamericana},
year={2019}
}
• Published 10 October 2016
• Mathematics
• Revista Matemática Iberoamericana
This is the first of two papers which study asymptotic behavior of minimal energy solutions to the fractional Lane-Emden system in a smooth bounded domain $\Omega$ $(-\Delta)^s u = v^p, \quad (-\Delta)^s v = u^q \text{ in } \Omega \quad \text{and} \quad u = v = 0 \text{ on } \pa \Omega \quad \text{for } 0 < s < 1$ under the assumption that the subcritical pair $(p,q)$ approaches to the critical Sobolev hyperbola. If $p = 1$, the above problem is reduced to the subcritical higher-order…
1 Citations

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