ON POSITIVE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS

NGUYEN HOANG LOC; KLAUS SCHMITT

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ON POSITIVE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS

机译：拟线性椭圆型方程的正解

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In 1981, Peter Hess established a multiplicity result for solutions of boundary-value problems for nonlinear perturbations of the Laplace operator. The sufficient conditions given were later shown to be also necessary by Dancer and the second author. In this paper, we show that similar (and slightly more general) results hold when the Laplace operator is replaced by the p-Laplacian. Some applications to singular problems are given, as well.

机译：1981年，彼得·赫斯（Peter Hess）为Laplace算子的非线性摄动建立了边值问题解的多重结果。舞者和第二作者后来证明，给出的充分条件也是必要的。在本文中，我们证明了当用p-Laplacian代替Laplace运算符时，得出的结果相似（且更为通用）。还提供了一些用于奇异问题的应用程序。

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《Differential and integral equations》 |2009年第10期|共14页
作者
NGUYEN HOANG LOC; KLAUS SCHMITT;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
QUASILINEAR ELLIPTIC EQUATION; perturbations; applications;

机译：拟线性椭圆方程;摄动;应用;

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ON POSITIVE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS

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