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Existence results for mean field equations

W. Ding·J. Jost·J. Li·G. Wang
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Abstract

Let $Ω$ be an annulus. We prove that the mean field equation $-Δψ=\frac{e\sp{-βψ}}{\int\sbΩe\sp{-βψ}} $ admits a solution with zero boundary for $β\in (-16π,-8π)$. This is a supercritical case for the Moser-Trudinger inequality.

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BibTeXRIS

W. Ding, J. Jost, J. Li, G. Wang. 1997-11-30. Existence results for mean field equations. https://arxiv.org/abs/dg-ga/9710023

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