具有非对称项p-Laplace方程的无穷多解

journal6 ›› 2008, Vol. 29 ›› Issue (5): 1-4.

• 数学 • 下一篇

具有非对称项p-Laplace方程的无穷多解

(华南师范大学数学科学学院，广东广州 510631)

出版日期:2008-09-25 发布日期:2012-05-20
作者简介:耿堤(1956-),男,天津人,华南师范大学数学科学学院教授, 博士，主要从事偏微分方程和非线性泛函分析研究.
基金资助:
国家自然科学基金资助项目(10371045)；广东省自然科学基金资助项目(7005795)

Infinitely Many Solutions of p-Laplacian Equations with a Nonsymmetric Term

(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China)

Online:2008-09-25 Published:2012-05-20

摘要/Abstract

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.

关键词： p-Laplace算子, 大Morse指标, 非奇性扰动, 无穷多解

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.

Key words: p-Laplace equation, large Morse index, non-symmetric perturbation；infinitely many solutions

耿堤, 刘迪生. 具有非对称项p-Laplace方程的无穷多解[J]. journal6, 2008, 29(5): 1-4.

GENG Di, LIU Di-Sheng. Infinitely Many Solutions of p-Laplacian Equations with a Nonsymmetric Term[J]. journal6, 2008, 29(5): 1-4.

具有非对称项p-Laplace方程的无穷多解

Infinitely Many Solutions of p-Laplacian Equations with a Nonsymmetric Term

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