Multi-valued solutions to Hessian equations |
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Authors: | Limei Dai Jiguang Bao |
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Affiliation: | 1. School of Mathematics and Information Science, Weifang University, Shandong, 261061, People??s Republic of China 2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People??s Republic of China
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Abstract: | In this paper, we use the Perron method to prove the existence of bounded multi-valued viscosity solutions to Hessian equations and interior Lipschitz continuity of the multi-valued solutions. |
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