| 一类拟线性椭圆边值问题的多解 |
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| 引用本文： | 张鹏.一类拟线性椭圆边值问题的多解[J].内江师范学院学报,2010,25(2):17-22. |
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| 作者姓名： | 张鹏 |
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| 作者单位： | 遵义师范学院数学系,贵州,遵义,563002 |
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| 基金项目： | 贵州省教育厅自然科学基金项目(黔教科2008067);;遵义师范学院自然科学基金资助(2008027) |
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| 摘 要： | 不假设f满足超二次条件，也不假设f（x,t）/｜t｜^p-1关于t不减，利用变化的山路引理，证明了一类超线性p—Laplacian椭圆方程解的存在性和多重性．
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| 关 键 词： | 拟线性 山路引理 （AR）条件 多解 |
Existence and Multiplicity of Solutions for a Class of Quasi-linear Elliptic Equations |
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| ZHANG Peng.Existence and Multiplicity of Solutions for a Class of Quasi-linear Elliptic Equations[J].Journal of Neijiang Teachers College,2010,25(2):17-22. |
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| Authors: | ZHANG Peng |
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| Institution: | Department of Mathematics/a>;Zunyi Normal College/a>;Zunyi/a>;Guizhou 563002/a>;China |
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| Abstract: | When f is not supposed to meet the second-order condition and (f(x,t))/|t|~(p-1) is not supposed to be nondecreasing with respect to t,the existence and multiplicity of solutions are obtained for a class of quaslinear elliptic equations by a variant version of Mountain Pass Theorem. |
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| Keywords: | quasilinear mountain pass lemma (AR) condition multiple solutions |
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