Existence and boundary behavior of solutions of Hessian equations with singular right-hand sides |
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| Authors: | Dongsheng Li Shanshan Ma |
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| Affiliation: | School of Mathematics and Statistics, Xi''an Jiaotong University, Xi''an 710049, China |
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| Abstract: | In this paper, we establish the existence of viscosity solutions of Hessian equations with singular right-hand sides and obtain the asymptotic boundary behavior of solutions. The asymptotic results generalize those for Poisson equations and Monge-Ampère equations, and are more precise than obtained from Hopf lemma. |
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| Keywords: | Hessian equations Singularity Existence Boundary behavior |
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