Radially symmetric convex solutions for Dirichlet problems of Monge‐Ampère equations |
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| Authors: | Zaitao Liang Jifeng Chu |
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| Affiliation: | Department of Mathematics, College of Science, Hohai University, Nanjing, China |
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| Abstract: | In this paper, we study the existence of radially symmetric convex solutions for Dirichlet problems of Monge‐Ampère equations. By applying a well‐known fixed point theorem in cones, we shall establish several new criteria for the existence of nontrivial radially symmetric convex solutions for the systems of Monge‐Ampère equations with or without an eigenvalue parameter. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | radially symmetric convex solutions Monge‐Ampè re equations fixed point theorem in cones |
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