位置：成果数据库 > 期刊 > 期刊详情页
一类奇异临界双调和椭圆方程的群不变解
  • ISSN号：1001-9847
  • 期刊名称：应用数学
  • 时间：2012.7.7
  • 页码：608-615
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆邮电大学数理学院,重庆400065, [2]苏州大学数学科学学院,江苏苏州215006
  • 相关基金：国家自然科学基金（11071180）,重庆邮电大学博士启动基金（A2011-46）
  • 相关项目：非线性特征值问题及其相关问题
作者： 邓志颖|黄毅生|DENG Zhiying1,2,HUANG Yisheng1 (1.School of Mathem|2.School of Mathematical Sciences,Suzhou Universit|
关键词： 群不变解, HARDY-SOBOLEV临界指数, Hardy-Rellich型不等式, 双调和椭圆方程, Group-invariant solution, Critical Hardy-Sobolev exponent , Hardy-Rellich inequality, Biharmonic elliptic equation
中文摘要：

讨论一类含有Hardy-Sobolev临界指数项的奇异双调和椭圆方程，应用Lions集中紧性原理、Palais对称临界原理、Hardy-Rellich型不等式和变分方法，证明了方程在适当条件下群不变解的存在性和多重性．

英文摘要：

In this paper, we discuss a class of singular biharmonic elliptic equations with critical Hardy-Sobolev exponent terms. By using the concentration-compactness principle of Lions together with the symmetric criticality principle of Palais,the Hardy-Rellich inequality and variational methods,we prove several existence and multiplicity results of grolap-invari- ant solutions under certain appropriate conditions.

同期刊论文项目
非线性特征值问题及其相关问题
期刊论文 24
同项目期刊论文
The stable Farkas lemma for composite convex functions in infinite dimensional spaces
Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev expo
Stable strong and total parametrized dualities for dc optimization problems in locally convex spaces
The Toland-Fenchel-Largange duality of DC programs for composite convex functions
Sign-changing solutions for p-biharmonic equations with Hardy potential
On a nonlinear Schrodinger equation with indefinite potential
Augmented Lagrangian functions for constrained optimization problems
Multiple solutions for a class of semilinear elliptic variational inclusion problems
Existence of a nontrivial solution for a class of hemivariational inequality problems at double reso
Sign-changing solutions for Schrodinger equations with indefinite supperlinear nonlinearities
Existence of Prescribed L-2-Norm Solutions for a Class of Schrodinger-Poisson Equation
Existence and multiplicity of symmetric solutions for a class of singular elliptic problems
Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular po
On G-symmetric solutions of a quasilinear elliptic equation involving critical Hardy-Sobolev exponen
On G-symmetric solutions of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobole
Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems
A class of quasilinear elliptic hemivariational inequality problems on unbounded domains
A penalty approximation method for a semilinear parabolic double obstacle problem
有奇异位势和临界指数的拟线性椭圆方程的G-对称解
Existence of augmented Lagrange multipliers for cone constrained optimization problems
Multiple solutions of asymptotically linear Schrödinger–Poisson system with radial potent
集值优化问题的非线性增广拉格朗日方法
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139