Radial solutions for a prescribed mean curvature equation with exponential nonlinearity |
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| Authors: | Hongjing Pan |
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| Institution: | a School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, Chinab School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, China |
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| Abstract: | We establish an existence result for radial solutions for a prescribed mean curvature equation with exponential nonlinearity. Our methods are based on degree theory combined with a time map analysis. We also obtain two nonexistence results for positive solutions for more general f; one of them is not limited to radial solutions. |
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| Keywords: | 35J93 34C23 47H11 |
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