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临界增长拟线性椭圆型方程中p-Laplace算子的弱连续性 被引量：3

ON THE WEAKLY CONTINUITY OF p-LAPLACIAN OPERATOR IN QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH
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摘要 讨论了RN中有界区域上一类拟线性椭圆型方程,在非线性项只限制临界增长的条件下对于1<p<N,证明了p-Laplace算子的弱连续性. It is shown that the p-Laplacian operators in a quasilinear elliptic type boundary problem in bounded domain of RN with critical growth on the nonlinearity is of weakly continuity for 1<p<N.
作者 耿堤 杨舟
机构地区 华南师范大学数学系
出处 《华南师范大学学报（自然科学版）》 CAS 2003年第3期10-13,共4页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10071024) 广东省自然科学基金资助项目(000671)
关键词 临界增长拟线性椭圆型方程 p—Laplace算子 弱连续性 集中紧性原理 p-Laplacian operators critical growth concentration-compactness principle weakly continuity
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献1

共引文献5

同被引文献19

  • 1AZORERO J G, ALONSO I P. Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric trem[J]. American Mathematical Society, 1991(2):877-895.
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  • 10Brezis H and Nirenberg L.Positive solutions of nonlinear elliptic equations involving critical sobolev exponents[J].Comm.Pure Appl.Math.,1983,36:437-477.

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二级引证文献8

华南师范大学学报（自然科学版）
2003年 第3期

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