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| ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM |
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Citation： |
LIU Zhaoli,LI Fuyi.ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM[J].Chinese Annals of Mathematics B,2000,21(4):499~510 |
| Page view： 991
Net amount： 755 |
Authors： |
LIU Zhaoli; LI Fuyi |
Foundation： |
Project supported by the National Natural Science Foundation of China and the Research Fund for the Doctoral Program of Higher Education of China. |
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| Abstract： |
Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value problem without assuming the P.S. condition. To prove the results in this paper, the authors adopt the method of gradient flow and use a new class of truncation functions. |
Keywords： |
Superlinear elliptic BVP, Positive solution, Variational method, Gradient flow |
Classification： |
35J20 |
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