UNIQUENESS OF A POSITIVE SOLUTION AND EXISTENCE OF A SIGN-CHANGING SOLUTION FOR (p,q)-LAPLACE EQUATION

被引：0

作者：

Tanaka, Mieko ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, Shinjyuku Ku, Kagurazaka 1-3, Tokyo 1628601, Japan

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2014年

关键词：

Indefinite weight; Nonlinear eigenvalue problems; (p; q)-Laplacian; Mountain pass theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the existence of a sign-changing solution and the uniqueness of a positive solution for quasilinear elliptic equations of the form -mu Delta(p)u-Delta(q)u = lambda m(q)(x) vertical bar u vertical bar(9-2)u in Omega with 1 < q < p < an > 0, under the Dirichlet boundary condition, where Omega is a bounded domain in R-N and m(q) is a weight function in L-infinity (Omega) admitting sign-change.

引用

页数：15

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