Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent

被引：24

作者：

Lin, Huei-li ^{[1
]}

机构：

[1] Chang Gung Univ, Dept Nat Sci, Ctr Gen Educ, Tao Yuan 333, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Multiple positive solutions; Semilinear elliptic problems; Critical Sobolev exponent; Nehari manifold; CONVEX NONLINEARITIES; R-N; CONCAVE; EXISTENCE;

D O I：

10.1016/j.na.2011.11.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and multiplicity of positive solutions for the Dirichlet problem -Delta u =lambda f(z) |u|(q-2) u + g(z) |u|(2*- 2) u in Omega, where lambda > 0, 1 <= q < 2, 2* = 2N/( N - 2), 0 is an element of Omega subset of R-N (N >= 3) is a bounded domain with smooth boundary partial derivative Omega, and f, g are nonnegative continuous functions on <(Omega)over bar>. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2660 / 2671

页数：12

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