EXISTENCE AND UNIQUENESS OF SOLUTIONS OF AN A-HARMONIC ELLIPTIC EQUATION

被引:1
|
作者
Kratou, Mouna [1 ]
机构
[1] Imam Abdulrahman Bin Faisal Univ, Coll Sci Dammam, Dammam 31441, Saudi Arabia
关键词
weak solutions; monotone operator; Browder Theorem;
D O I
10.1556/012.2019.56.1.1410
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with the existence and uniqueness of weak solution of a problem which involves a class of A-harmonic elliptic equations of nonhomogeneous type. Under appropriate assumptions on the function f, our main results are obtained by using Browder Theorem.
引用
收藏
页码:13 / 21
页数:9
相关论文
共 50 条
  • [1] The existence of solutions to the nonhomogeneous A-harmonic equation
    Guanfeng Li
    Yong Wang
    Gejun Bao
    Journal of Inequalities and Applications, 2011
  • [2] The existence of solutions to the nonhomogeneous A-harmonic equation
    Li, Guanfeng
    Wang, Yong
    Bao, Gejun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [3] EXISTENCE AND UNIQUENESS OF SINGULAR SOLUTIONS FOR ELLIPTIC EQUATION ON THE HYPERBOLIC SPACE
    Wu, Yen-Lin
    Chen, Zhi-You
    Chern, Jann-Long
    Kabeya, Yoshitsugu
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (02) : 949 - 960
  • [4] Weighted integral inequalities for solutions of the A-harmonic equation
    Xing, YM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (01) : 350 - 363
  • [5] REGULARITY FOR VERY WEAK SOLUTIONS TO A-HARMONIC EQUATION
    Liu Lin Gao Hongya Applied Science School
    Applied Mathematics A Journal of Chinese Universities(Series B), 2006, (03) : 343 - 349
  • [6] Regularity for very weak solutions to A-harmonic equation
    Lin L.
    Gao H.
    Applied Mathematics-A Journal of Chinese Universities, 2006, 21 (3) : 343 - 349
  • [7] The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent
    Wen, Haiyu
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [8] Existence of Solutions for Nonhomogeneous A-Harmonic Equations with Variable Growth
    Fu, Yongqiang
    Guo, Lifeng
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [9] EXTREMUM PRINCIPLE FOR VERY WEAK SOLUTIONS OF A-HARMONIC EQUATION
    Gao Hongya
    Li Juan
    Deng Yanjun
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2005, 18 (03): : 235 - 240
  • [10] Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
    Gao Hong-ya
    Zhang Yu
    Chu Yu-ming
    KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (02): : 195 - 202