Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack's inequality

机译：锥体克拉斯斯基型定理的半线性椭圆问题正解及哈纳克的不平等问题

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摘要

In this paper a new version of Krasnoselskii's fixed point theorem in cones, together with a global weak Harnack inequality for nonnegative superharmonic functions are used to investigate the existence of positive solutions of the Dirichlet problem for semi-linear elliptic equations.

机译：本文在锥体中的新版本的Krasnoselskii的固定点定理与非负面超声函数的全球弱Harnack不等式一起用于研究半线性椭圆方程的Dirichlet问题的正解的存在。

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《International Conference on Mathematical Analysis and Applications》|2006年||共8页
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作者
Radu Precup;
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中图分类 O17-532;
关键词
positive solution; fixed point theorem in cones; elliptic boundary value problem; weak Harnack inequality;

机译：阳性解决方案;锥体的定点定理;椭圆边值问题;弱Harnack不平等;

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专利

1. Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations [J] . YanYan Li, Lei Zhang Journal d'Analyse Mathématique . 2003,第1期

机译：半线性椭圆方程的Liouville型定理和Harnack型不等式
2. New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function [J] . Christopher S. Goodrich Journal of Differential Equations . 2018,第1期

机译：椭圆形PDE径向对称解定号的新的Harnack不等式和存在定理，符号变化或消失绿色功能
3. Harnack Inequalities and B?cher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations [J] . YANYAN LI, LUC NGUYEN Communications on Pure and Applied Mathematics . 2014,第11期

机译：共形不变的，完全非线性的退化椭圆型方程的Harnack不等式和Bcher型定理
4. Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack's inequality [C] . Radu Precup International Conference on Mathematical Analysis and Applications . 2006

机译：锥体克拉斯斯基型定理的半线性椭圆问题正解及哈纳克的不平等问题
5. Liouville and Harnack type theorems for semilinear elliptic equations and Yamabe type equations. [D] . Zhang, Lei. 2001

机译：半线性椭圆方程和Yamabe型方程的Liouville和Harnack型定理。
6. Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation [O] . Bingqing Ma, Yongli Dong -1

机译：加权非线性椭圆方程的梯度估计和Liouville型定理
7. Liouville type theorems and Harnack type inequalities for semilinear elliptic equations [O] . YanYan Li, Lei Zhang 2003

机译：半线性椭圆方程的Liouville型定理和Harnack型不等式
8. On Some Existence Theorems for Semi-Linear Elliptic Equations. [R] . amann,herbert crandall,michael g. 1977

机译：关于半线性椭圆方程的一些存在定理。

Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack's inequality

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