On strictly positive solutions for some semilinear elliptic problems

被引：0
作者：
T. Godoy
U. Kaufmann
机构：
[1] FaMAF,
[2] Universidad Nacional de Córdoba,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 2013年 / 20卷
关键词：
35J25; 35J61; 35B09; 35J65; Elliptic problems; Indefinite nonlinearities; Sub and supersolutions; Positive solutions;
D O I：
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中图分类号：
学科分类号：
摘要：
Let B be a ball in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^{N}}$$\end{document}, N ≥ 1, let m be a possibly discontinuous and unbounded function that changes sign in B and let 0 < p < 1. We study existence and nonexistence of strictly positive solutions for semilinear elliptic problems of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${-\Delta u=m(x) u^{p}}$$\end{document} in B, u = 0 on ∂B.
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页码：779 / 795
页数：16
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