位置：成果数据库 > 期刊 > 期刊详情页
一类含临界耦合非线性项的奇异椭圆方程组的正解
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]孝感学院数学与统计学院,湖北孝感432000
  • 相关基金：国家自然科学基金资助项目（10631030）; 孝感学院青年项目（z2011004）
作者： 吕登峰[1]
关键词： 椭圆方程组, 临界指数, Hardy项, 正解, elliptic systems, critical exponent, Hardy term, positive solution
中文摘要：

本文研究了一类含临界指数与耦合非线性项的奇异椭圆方程组. 利用变分方法与极大值原理, 通过证明对应的能量泛函满足局部的 （PS）c 条件, 得到了这类方程组正解的存在性, 推广了单个方程与方程组中的相应结果.

英文摘要：

In this paper,we study a class of singular elliptic systems involving critical exponents and coupling nonlinear terms.By using the variational methods and strong maximum principle and estimating the energy functional corresponding to the problem satisfying the local（PS）c condition,we prove the existence of at least one pair of positive solutions for the elliptic systems.The conclusions of this paper extend the corresponding results of single equation and system of equations.

同期刊论文项目
非线性椭圆与抛物型方程的理论及其应用的研究
期刊论文 104 获奖 4
同项目期刊论文
Positive solution for a nonlinear stationary Schrodinger-Poisson system in R-3
Exponential decay of the solutions for nonlinear biharmonic equations,
Solutions to nonlinear Neumann problems with an inverse square potential
Asymptotic behavior of solutions to semilinear elliptic equations with hardy potential
On symmetric solutions of a singular elliptic equation with critical Sobolev-Hardy exponent
Nontrivial solutions of Hardy-Henon type elliptic systems
Nodal solutions for Laplace equations with critical Sobolev and Hardy exponents on R-N
The Lazer-McKenna conjecture for an elliptic problem with critical growth
Existence of nonnegative solutions for a class of p-Laplacian equations in R-N
Critical Neumann problem with competing hardy potentials
THE EXISTENCE OF NONTRIVIAL SOLUTIONS TO A SEMILINEAR ELLIPTIC SYSTEM ON R-N WITHOUT THE AMBROSETTI-
CONCENTRATION OF SOLUTIONS FOR A PANEITZ TYPE PROBLEM
Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces
INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY
STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE,
Regularity of weak solutions to 3D incompressible Navier-Stokes equations
ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTIONS FOR AN ELLIPTIC EQUATION WITH HARDY TERM
MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT
The existence of nontrivial solutions to nonlinear elliptic equation of p-q-Laplacian type on R-N
Quasilinear Elliptic Equations with Neumann Boundary and Singularity
FOUNTAIN THEOREM OVER CONES AND APPLICATIONS
Positive solution for asymptotically linear elliptic systems
A global compact result for a semilinear elliptic problem with Hardy potential and critical nonlinea
LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PAR
Multiplicity of solutions for the plasma problem in two dimensions
The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of p-Laplacian
A SHARP DECAY ESTIMATE FOR NONLINEAR SCHRODINGER EQUATIONS WITH VANISHING POTENTIALS
EXISTENCE OF A COOPERATIVE ELLIPTIC SYSTEM INVOLVING PUCCI OPERATOR
Multi-peak bound states for Schrodinger equations with compactly supported or unbounded potentials
On Best Constants for Limiting Embeddings of Fractional Sobolev Spaces
EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC
POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations II
REGULARITY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONS IN R-N
POSITIVE SOLUTIONS FOR ELLIPTIC EQUATIONS RELATED TO THE CAFFARELLI-KOHN-NIRENBERG INEQUALITIES
A note on the positive solutions of an inhomogeneous elliptic equation on R-n
BOUND STATES FOR A STATIONARY NONLINEAR SCHRODINGER-POISSON SYSTEM WITH SIGN-CHANGING POTENTIAL IN R
Positive solutions for nonlinear Schrodinger equations with deepening potential well
Positive solutions for a nonhomogeneous elliptic equation on R-N without (AR) condition
ON SCHRODINGER EQUATIONS WITH INDEFINITE NONLINEARITIES
MULTIPLE SOLUTIONS FOR SCHRODINGER EQUATIONS WITH MAGNETIC FIELD
Asymptotic behavior on the Henon equation with supercritical exponent
Yinbin Deng, Fen Yang, Existence and asymptotic behavior of positive solutions for an inhomogeneous
Solutions for a class of singular nonlinear boundary value problem involving critical exponent
Dedication on the occasion of professor Xiaqi Ding's 80th birthday
Multiscale-bump standing waves with a critical frequency for nonlinear Schrodinger equations
Existence and decay properties of positive solutions for an inhomogeneous semilinear elliptic equati
On the stability of the positive radial steady states for a semilinear Cauchy problem involving crit
A Robin boundary problem with Hardy potential and critical nonlinearities
On the existence of nontrivial solutions for p-harmonic equations on unbounded domains
Existence of solutions for singular elliptic systems with critical exponents
Decay results of solutions to the incompressible Navier-Stokes flows in a half space,
Multiple solutions for an elliptic problem related to vortex pairs,J. Differential Equations,
Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equ
Result on positive solutions of elliptic equations with a critical Hardy-Sobolev operator,
Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities
Singular elliptic problems in R-N with critical Sobolev-Hardy exponents
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations I
Many solutions for elliptic equations with critical exponents
Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure
Solutions of Euler-Poisson equations in R-n
Solutions for the prescribing mean curvature equation
ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEM ON R-N
Uniqueness and radial symmetry of least energy solution for a semilinear Neumann problem
Asymptotic behavior of Solutions for Henon systems with nearly critical exponent
Existence of solutions for a semilinear elliptic equation in RN with sign-changing weight
The regularity of weak solutions to nonlinear scalar field elliptic equations containing p&q-laplaci
Exponential decay of the solutions for nonlinear multiharmonic equations
Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor
The existence of a nontrivial solution to the p&q-Laplacian problem with nonlinearity asymptotic to
Semiclassical symmetric Schrodinger equations: Existence of solutions concentrating simultaneously o
Solutions for a singular critical growth problem with a weight
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains
On a class of critical heat equations with an inverse square potential,
Multiple positive solutions for a quasilinear nonhomogeneous Neumann problems with critical Hardy ex
Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains
A variational ODE and its application to an elliptic problem
类渐近线性p＆q—Laplace方程弱解的全局衰减性
全空间上半线性椭圆方程的解
临界增长Hénon方程解的存在性
一类含不定非线性项奇异椭圆方程的正解
渐近线性椭圆方程组的非负解(英文)
一类非线性薛定谔方程的多解的存在性
一类含临界指数双调和椭圆方程组非平凡解的存在性
EXISTENCE OF TWO POSITIVE SOLUTIONS TO SINGULAR ELLIPTIC SYSTEMS WITH WEIGHTS
期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,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:3910