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一类带有凹凸非线性项的p-拉普拉斯方程一对正解的存在性 被引量：1

On Pairs of Positive Solutions for a Class of p-Laplacian Equation with Convex and Concave Nonlinearities
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摘要 研究了一类带有凹凸非线性项的超线性p-拉普拉斯方程,其中主要的困难是非线性项f(x,t)不满足著名的(AR)条件.利用临界点理论和欧拉变分原理证明了方程至少存在一对正解. In this paper ,we consider a class of superlinear p-Laplacian equations involving some convex and concave nonlinearities .The main difficulty here is that the nonlinearity f（x ,t） does not necessarily verify the well-known （AR） condition .Based on the knowledge of critical point theory and Ekeland variational principle ,a pair of positive solutions are obtained .
作者 高婷梅
机构地区 陕西理工学院数学与计算机科学学院
出处 《西南师范大学学报（自然科学版）》 CAS 北大核心 2015年第4期21-26,共6页 Journal of Southwest China Normal University(Natural Science Edition)
关键词 正解 P-拉普拉斯方程 欧拉变分原理 positive solution p-Laplacian equations Ekeland variational principle
分类号 O177.91 [理学—基础数学]
作者简介 高婷梅（1985-），女，陕西汉中人，助教，主要从事非线性泛函分析的研究．
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参考文献10

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二级参考文献12

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共引文献24

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引证文献1

二级引证文献1

西南师范大学学报（自然科学版）
2015年 第4期

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