| 一类含不定非线性项椭圆方程的正解 |
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| 引用本文： | 林美琳.一类含不定非线性项椭圆方程的正解[J].延边大学理工学报,2022,0(4):327-331. |
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| 作者姓名： | 林美琳 |
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| 作者单位： | (应用数学福建省高校重点实验室(莆田学院),福建莆田351100) |
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| 摘 要： | 研究了一类带权的含有不定非线性项的椭圆方程,并利用约束极小问题和精确的能量估计以及集中紧性原理和强极值原理证明了这类方程在加权情况下也存在正解.该结果拓展了奇异椭圆方程的相关结果.
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| 关 键 词： | 正解 不定非线性项 椭圆方程 |
Positive solution for an elliptic equation with indefinite nonlinearity |
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| LIN Meilin.Positive solution for an elliptic equation with indefinite nonlinearity[J].Journal of Yanbian University (Natural Science),2022,0(4):327-331. |
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| Authors: | LIN Meilin |
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| Affiliation: | (Key Laboratory of Applied Mathematics of Fujian Province University(Putian University), Putian 351100, China) |
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| Abstract: | Via constraint minimization argument and delicate energy estimates, we show the existence of a positive solution for an elliptic equation with indefinite nonlinearity.The solution is obtained by concentration compactness principle and strong maximum principle.This result extends the related results of singular elliptic equations. |
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| Keywords: | positive solution indefinite nonlinearity elliptic equation |
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