Multiple solutions to Hessian equations |
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| Authors: | Limei Dai |
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| Institution: | 1. School of Mathematics and Information Science, Weifang University, Weifang, 261061, People??s Republic of China
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| Abstract: | This paper concerns with the multiple solutions of Hessian equations ?? k (??(D 2 u))?=?f (x, u) in a (k ? 1)-convex domain ${\Omega\subset \mathbb{R}^{n}}$ . Using the methods of degree theory and a priori estimates we prove the existence of two or more solutions to the Hessian equations. |
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