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一类拟线性椭圆方程边界爆破解的边界层估计

Layer estimates of boundary blow-up solutions for a class of quasilinear elliptic equations
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摘要 研究p-Laplace方程Δpu=λf(u)的边界爆破问题,其中Δpu=div(|▽u|p-2▽u)且p>1,实数λ为正参数,得到了边界爆破解的边界层估计. This paper studies the boundary blow-up problem of p-Laplace equationΔpu=λf（u）,whereΔpu=div（｜▽u｜p-2▽u）,with p1andλis a positive parameter,and obtains the boundary layer estimates of the boundary blow-up solution.
作者 郝瑞亚 陈玉娟
机构地区 南通大学理学院
出处 《扬州大学学报（自然科学版）》 CAS 北大核心 2015年第3期8-11,共4页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(11271209)
关键词 P-LAPLACE方程 边界爆破解 边界层估计 p-Laplace equations boundary blow-up solutions boundary layer estimates
分类号 O175.25 [理学—基础数学] O241.82 [理学—计算数学]
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参考文献11

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二级参考文献10

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扬州大学学报（自然科学版）
2015年 第3期

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