Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

被引：3

作者：

Stuart, C. A. ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math, Stn 8, CH-1015 Lausanne, Switzerland

来源：

MILAN JOURNAL OF MATHEMATICS | 2011年 / 79卷 / 01期

关键词：

Mountain pass solution; Cerami sequence; CYLINDRICAL TM-MODES; EXISTENCE;

D O I：

10.1007/s00032-011-0140-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of second order quasilinear elliptic equations we establish the existence of two non-negative weak solutions of the Dirichlet problem on a bounded domain, Omega. Solutions of the boundary value problem are critical points of C(1)-functional on H(0)(1) (Omega). One solution is a local minimum and the other is of mountain pass type.

引用

页码：327 / 341

页数：15

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