| 含非对称临界非线性项的p-Laplace方程的多解问题 |
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| 引用本文： | 耿堤. 含非对称临界非线性项的p-Laplace方程的多解问题[J]. 数学学报, 2004, 47(4): 751-762. DOI: cnki:ISSN:0583-1431.0.2004-04-017 |
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| 作者姓名： | 耿堤 |
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| 作者单位： | 华南师范大学数学系,广州,510631 |
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| 基金项目： | 国家自然科学基金(10371045)，广东省自然科学基金(000671) |
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| 摘 要： | 本文考虑含非奇对称临界非线性项的p-Laplace方程Dirichlet问题。运用改进的集中列紧原理证明了在某些指数条件下非奇对称的临界非线性项仍能保证无穷多弱解的存在性。
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| 关 键 词： | p-Laplace方程 集中列紧原理 临界指标 |
| 文章编号： | 0583-1431(2004)04-0751-12 |
On Multiple Solutions of p-Laplacian Equation with Non-Symmetric Critical Nonlinearity |
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| Di GENG. On Multiple Solutions of p-Laplacian Equation with Non-Symmetric Critical Nonlinearity[J]. Acta Mathematica Sinica, 2004, 47(4): 751-762. DOI: cnki:ISSN:0583-1431.0.2004-04-017 |
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| Authors: | Di GENG |
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| Affiliation: | Di GENG Department of Mathematics, South China Normal University, Guangzhou 510631, P R China |
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| Abstract: | In this paper, a class of Dirichlet boundary problem of p-Laplacian operatorsis studied. The problem involves non-odd symmetric critical nonlinearity. Existenceof infinitely many solutions of this problem is obtained with improved Compactness-Concentration principle. |
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| Keywords: | p-Laplacian problems Concentration compactness principle Critical exponents |
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