| 非对称p-Laplacian Dirichlet问题的非平凡解 |
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| 引用本文： | 胡玉玲,裴瑞昌.非对称p-Laplacian Dirichlet问题的非平凡解[J].纯粹数学与应用数学,2014(1):77-83. |
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| 作者姓名： | 胡玉玲 裴瑞昌 |
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| 作者单位： | 天水师范学院数学与统计科学学院,甘肃 天水741001 |
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| 基金项目： | 国家自然科学基金（11101319）. |
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| 摘 要： | 研究了一类非对称的p-Laplacian(p1)Dirichlet问题.在正半轴不需要假设Ambrosetti-Rabinowitz的超二次条件下,利用山路定理建立非平凡解的存在性结果.
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| 关 键 词： | 山路理论 渐近线性 超线性 Dirichlet问题 单侧共振 |
Nontrivial solutions for asymmetric p-Laplacian Dirichlet problem |
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| Hu Yuling,Pei Ruichang.Nontrivial solutions for asymmetric p-Laplacian Dirichlet problem[J].Pure and Applied Mathematics,2014(1):77-83. |
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| Authors: | Hu Yuling Pei Ruichang |
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| Institution: | (College of Mathematical and Statistical Science,Tianshui Normal University, Tianshui 741001, China) |
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| Abstract: | A class of asymmetric p-Laplacian Dirichlet problem is studied. Without Ambrosetti-Rabinowitz′s super quadratic condition on the positive semiaxis, the existence of nontrivial solutions is established by using mountain pass theorem. |
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| Keywords: | mountain pass theorem asymptotically linear superlinear Dirichlet problem one side resonance |
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