| 一类含凹凸非线性项拟线性椭圆方程的多重解 |
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| 引用本文： | 吕登峰,肖建海,徐国进.一类含凹凸非线性项拟线性椭圆方程的多重解[J].数学杂志,2013,33(1):6-14. |
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| 作者姓名： | 吕登峰 肖建海 徐国进 |
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| 作者单位： | 湖北工程学院数学与统计学院,湖北孝感,432000 |
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| 基金项目： | Supported by the Youth Foundation of Hubei Engineering University(Z2012003) |
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| 摘 要： | 本文研究了一类拟线性椭圆方程,其中非线性项f在无穷远处(p-1)-次线性增长,非线性项g在无穷远处超线性增长.利用三临界点定理,获得了该类方程多重解的存在性,结果推广了Kristaly等人最近的相关结果.
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| 关 键 词： | 拟线性椭圆方程 三临界点定理 多重解 凹凸非线性项 |
MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CONCAVE-CONVEX NONLINEARITIES |
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| L Deng-feng
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XIAO Jian-hai
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XU Guo-jin.MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CONCAVE-CONVEX NONLINEARITIES[J].Journal of Mathematics,2013,33(1):6-14. |
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| Authors: | L Deng-feng XIAO Jian-hai XU Guo-jin |
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| Institution: | (School of Mathematics and Statistics,Hubei Engineering University,Xiaogan 432000,China) |
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| Abstract: | |
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| Keywords: | quasilinear elliptic equation three critical points theorem multiple solutions concave-convex nonlinearities |
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