| 一类非线性Dirichlet问题的多重解 |
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| 引用本文： | 许万银. 一类非线性Dirichlet问题的多重解[J]. 四川师范大学学报(自然科学版), 2012, 0(2): 231-235 |
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| 作者姓名： | 许万银 |
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| 作者单位： | 陇东学院数学系 |
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| 基金项目： | 甘肃省高校研究生导师科研基金(0810-03)资助项目 |
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| 摘 要： | 对一类具有p-Laplace算子的拟线性微分方程特征值Dirichlet问题采用变分法和Ricceri三临界点定理进行了探讨,在一些更易验证的条件下,证明了其在W01,p([a,b])上至少3个弱解存在的充分条件,这也从研究方法上推广了现有文献的结果.而且,作为应用,还给出了一个例子说明文中结论的正确性.
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| 关 键 词： | p-Laplacian Ricceri三临界点定理 变分方法 Dirichlet问题 |
Multiplicity Results of a Class of Nonlinear Eigenvalue Dirichlet Problems |
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| XU Wan-yin. Multiplicity Results of a Class of Nonlinear Eigenvalue Dirichlet Problems[J]. Journal of Sichuan Normal University(Natural Science), 2012, 0(2): 231-235 |
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| Authors: | XU Wan-yin |
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| Affiliation: | XU Wan-yin(Department of Mathematics,Longdong College,Qingyang 745000,Ganshu) |
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| Abstract: | In this paper,the eigenvalue Dirichlet problem for a class of quasilinear differential equation with p-Laplace operator is studied by utilizing variational method and Ricceri three critical points theorem.Sufficient condition to guarantee the existence of at least three weak solutions in W1,p0() are proved under some conditions which are easier to be verified.Some results in the recent literatures are generalized.Moreover,as an application,an example to illustrate the results is given also. |
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| Keywords: | p-Laplacian Ricceri three critical points theorem variational method Neumann eigenvalue problem |
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