EXISTENCE OF MULTIPLE POSITIVE WEAK SOLUTIONS AND ESTIMATES FOR EXTREMAL VALUES FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC PROBLEMS WITH AN INVERSE-SQUARE POTENTIAL

Chen Yaoping; Chen Jianqing

首页> 外文期刊>Communications on pure and applied analysis >EXISTENCE OF MULTIPLE POSITIVE WEAK SOLUTIONS AND ESTIMATES FOR EXTREMAL VALUES FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC PROBLEMS WITH AN INVERSE-SQUARE POTENTIAL

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EXISTENCE OF MULTIPLE POSITIVE WEAK SOLUTIONS AND ESTIMATES FOR EXTREMAL VALUES FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC PROBLEMS WITH AN INVERSE-SQUARE POTENTIAL

机译：存在多个正弱解决方案的存在性，对具有逆平衡潜力的一类凹凸椭圆问题的极值值估计

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摘要

In this paper, variational methods are used to establish some existence and multiplicity results and provide uniform estimates of extremal values for a class of elliptic equations of the form:

机译：在本文中，使用变分方法来建立一些存在和多重性结果，并为形式的一类椭圆方程提供极值值的均匀估计值：

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来源
《Communications on pure and applied analysis》 |2017年第5期|共22页
作者
Chen Yaoping; Chen Jianqing;
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作者单位

Fujian Normal Univ Concord Univ Coll Fuzhou 350117 Peoples R China;

Fujian Normal Univ Coll Math &

Comp Sci Fuzhou 350108 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Elliptic problems; Hardy term; multiple positive solutions; extremal values; uniform estimates;

机译：椭圆形问题;哈迪术语;多种正面解决方案;极值;统一估计;

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专利

1. EXISTENCE OF MULTIPLE POSITIVE WEAK SOLUTIONS AND ESTIMATES FOR EXTREMAL VALUES FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC PROBLEMS WITH AN INVERSE-SQUARE POTENTIAL [J] . Chen Yaoping, Chen Jianqing Communications on pure and applied analysis . 2017,第5期

机译：存在多个正弱解决方案的存在性，对具有逆平衡潜力的一类凹凸椭圆问题的极值值估计
2. Existence and Multiplicity of Positive Solutions to Quasilinear Elliptic Systems Involving Multiple Hardy-Type Terms and Concave-Convex Nonlinearities [J] . Tsing-San Hsu 数学和系统科学：英文版 . 2013,第003期

机译：包含多个Hardy型项和凹凸非线性的拟线性椭圆系统的正解的存在性和多重性
3. Existence of positive weak solutions for a class of Kirrchoff elliptic systems with multiple parameters [J] . Boulaaras Salah, Guefaifia Rafik Mathematical Methods in the Applied Sciences . 2018,第13期

机译：具有多个参数的一类KirrChoff椭圆系统的正弱解的存在
4. Multiple existence of positive solutions to quasilinear elliptic equations involving indefinite lower terms [C] . Kimiaki Narukawa International Conference on Mathematical Problems in Engineering, Aerospace and Sciences . 2012

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. Existence and bifurcation of multiple positive solutions for some semilinear elliptic equations. [D] . Zhao, Xuejin. 1998

机译：一类半线性椭圆型方程的多个正解的存在性和分歧。
6. On Positive Radial Solutions for a Class of Elliptic Equations [O] . Ying Wu, Guodong Han -1

机译：一类椭圆方程的正径向解
7. Existence of multiple positive weak solutions and estimates for extremal values for a class of concave-convex elliptic problems with an inverse-square potential [O] . Yaoping Chen, Jianqing Chen 2017

机译：存在多个正弱解决方案的存在性，对具有逆平衡潜力的一类凹凸椭圆问题的极值值估计

EXISTENCE OF MULTIPLE POSITIVE WEAK SOLUTIONS AND ESTIMATES FOR EXTREMAL VALUES FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC PROBLEMS WITH AN INVERSE-SQUARE POTENTIAL

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