Geometrically distinct solutions for quasilinear elliptic equations

被引：8

作者：

Wu, Xian ^{[1
]}

Wu, Ke ^{[2
,3
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

[2] Yunnan Univ, Dept Math & Stat, Kunming 650091, Yunnan, Peoples R China

[3] Zhaotong Univ, Dept Math, Zhaotong 657000, Yunnan, Peoples R China

来源：

NONLINEARITY | 2014年 / 27卷 / 05期

基金：

中国国家自然科学基金;

关键词：

quasilinear elliptic equation; geometrically; distinct solution; critical point; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; EXISTENCE;

D O I：

10.1088/0951-7715/27/5/987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study quasilinear elliptic equations -Sigma(N)(i,j=1) D-j(a(i,j)(x, u)D(i)u) + 1/2 Sigma(N)(i,j=1) D(s)a(i,j)(x,u)D(i)uD(j)u + V(x)u = g(x,u), x is an element of R-N, where D-i = partial derivative/partial derivative x(i), D(s)a(ij) (x, s) = partial derivative/partial derivative s a(ij)(x, s), g is an element of C(R-N x R, R) and V is an element of C(R-N, R). Using some special techniques, an existence theorem for infinitely many pairs +/- u of geometrically distinct solutions is given.

引用

页码：987 / 1001

页数：15

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