| 具渐近线性无共振p(x)-Laplace方程的多解性 |
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| 引用本文： | 房维维,付永强.具渐近线性无共振p(x)-Laplace方程的多解性[J].数学的实践与认识,2011,41(17). |
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| 作者姓名： | 房维维 付永强 |
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| 作者单位： | 1. 哈尔滨师范大学文理学院数学系,黑龙江哈尔滨,150301
2. 哈尔滨工业大学理学院数学系,黑龙江哈尔滨,150001 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(12511159) |
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| 摘 要： | 研究了如下p(x)-Laplace方程(?)多解的存在性问题,其中Ω是R~N上具有光滑边界的有界区域.我们以改进的山路引理为工具,获得了在给予f(x,u)某些条件的基础上,该问题具有多解性结果的结论.
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| 关 键 词： | 多解 渐近线性 p(x)-Laplace方程 |
Multiple Solutions to p(x)-Laplacian Problem with Asymptical Linearity and Without Resonance |
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| FANG Wei-wei,FU Yong-qiang.Multiple Solutions to p(x)-Laplacian Problem with Asymptical Linearity and Without Resonance[J].Mathematics in Practice and Theory,2011,41(17). |
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| Authors: | FANG Wei-wei FU Yong-qiang |
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| Institution: | FANG Wei-wei~1 FU Yong-qiang~2 (1.Department of Mathematices,Harbin Normal University Arts and Science College,Harbin 150301,China) (2.Department of Mathematices,Harbin institute of Technology College of Science,Harbin 150001,China) |
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| Abstract: | In this paper,we study the existence of multiple solutions to the following p(x)-Laplace equation (?) whereΩis a bounded domain in R~N with smooth boundary.By means of an improved mountain pass theorem we obtain that the above problem prossesses multiple solutions under some conditions on f(x,u). |
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| Keywords: | Multiple solution asymptical linearity p(x)-Laplace equation |
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