| 具有非对称项p-Laplace方程的无穷多解 |
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| 引用本文： | 耿堤,刘迪生.具有非对称项p-Laplace方程的无穷多解[J].吉首大学学报(自然科学版),2008,29(5):1-4. |
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| 作者姓名： | 耿堤 刘迪生 |
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| 作者单位： | (华南师范大学数学科学学院，广东 广州 510631) |
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| 基金项目： | 国家自然科学基金资助项目，广东省自然科学基金资助项目 |
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| 摘 要： | 讨论了有界区域上一类具有非对称扰动项的p-Laplace方程.利用对应的Laplace方程大Morse指标, 给出了该问题变分泛函极小极大值序列的一个下界估计, 这个估计在一定范围内优于已有的结论.进而得到了无穷多个弱解的存在性.
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| 关 键 词： | p-Laplace算子 大Morse指标 非奇性扰动 无穷多解 |
Infinitely Many Solutions of P-Laplacian Equations with a Nonsymmetric Term |
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| GENG Di,LIU Di-sheng.Infinitely Many Solutions of P-Laplacian Equations with a Nonsymmetric Term[J].Journal of Jishou University(Natural Science Edition),2008,29(5):1-4. |
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| Authors: | GENG Di LIU Di-sheng |
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| Institution: | (School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | A class of p-Laplace equation with a nonsymmetric term on a bounded domain is studied.By using the large Morse index of the corresponding Laplace equation,we give a growth estimate about the series of min-max values of associated functional for the problem.The estimate is better than the given result in some range.It is shown that the problem possesses infinitely many weak solutions. |
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| Keywords: | p-Laplace equation large Morse index non-symmetric perturbation infinitely many solutions |
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