Improved existence results of solutions to the gravitational Maxwell gauged 𝑂(3) sigma model

Song, Kyungwoo

doi:10.1090/proc/12967

Improved existence results of solutions to the gravitational Maxwell gauged $O(3)$ sigma model
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Proc. Amer. Math. Soc. 144 (2016), 3499-3505 Request permission

Abstract:

We improve the existence result of finite energy solutions to the self-dual equations of the gravitational Maxwell gauged $O(3)$ sigma model in $(2+1)$-dimensional Minkowski space for arbitrary location of strings for a small gravitational constant using the standard super- and subsolution method. We construct an explicit supersolution and use the weighted Sobolev space for a subsolution.

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