一类退化椭圆系统在高阶特征值处近共振的多重解 |
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引用本文: | 安育成,金瑾.一类退化椭圆系统在高阶特征值处近共振的多重解[J].渝西学院学报(自然科学版),2012(1):5-8. |
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作者姓名: | 安育成 金瑾 |
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作者单位: | 毕节学院数学与计算机科学学院,贵州毕节551700 |
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基金项目: | 毕节学院自然科学基金资助项目(20112011) |
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摘 要: | 通过对一类退化椭圆系统的研究,对各项异性Sobolev空间进行直和分解,利用临界点理论中的环绕定理,获得了其退化椭圆系统在高阶特征值处近共振的多重解.
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关 键 词: | 退化椭圆系统 环绕定理 多重解 |
Multiple solutions for degenerate elliptic systems near resonance at higher eigenvalues |
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Authors: | AN Yu-cheng JIN Jin |
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Institution: | (School of Mathematics and Computer Science,Bijie University,Bijie Guizhou 551700,China) |
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Abstract: | A class of degenerate elliptic systems was studied,and the link theorem in critical point theory was used to obtain multiple solutions for a class of degenerate elliptic systems near resonance at higher eigenvalues. |
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Keywords: | degenerate elliptic system link theorem multiple solutions |
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