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非线性φ-Laplace系统的半正问题
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]广州大学数学与信息科学学院,广东广州510006
  • 相关基金：This research is supported partially by PCSIRT of China（ IRT1226 ） and the Natural Science Fund of China（ 11171078 ）.
作者： 白定勇[1], 盛其杰[1]
关键词： ф-Laplace系统, 半正问题, 正解, 参数, φ-Laplacian system , semipositone problem , positive solution , parameter
中文摘要：

考虑一类含双参数（λ1,λ2）的φ-Laplace二阶非线性微分系统的半正问题,在适当的非线性项条件下,利用锥上的不动点定理,建立了问题至少一个正解的存在性结果,并给出了参数（λ1,λ2）的显式开区域.所得结论对于p-Laplace情形也是新的.另外,给出了具体的例子来说明结果的应用.

英文摘要：

Concerned is a semipositone problem of φ-Laplacian system with a pair of parameter （λ1, λ2 ）. Un- der suitable conditions imposed on the nonlinearity, it is shown by fixed point method that the problem has at least one positive solution for （λ1, λ2 ） belonging to an explicit open region. The obtained result is new even for p-Laplacian boundary value problems and it is illustrated with an example.

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