Liang Xi-ting, Wang Xiang-dong. A Priori Estimayes to the maximum Modulus of Generalized Solutions of a Class of Quasilinear Elliptic Epuations with Anisotropic Growth Conditions[J]. Applied Mathematics and Mechanics, 1994, 15(11): 971-980.
Citation: Liang Xi-ting, Wang Xiang-dong. A Priori Estimayes to the maximum Modulus of Generalized Solutions of a Class of Quasilinear Elliptic Epuations with Anisotropic Growth Conditions[J]. Applied Mathematics and Mechanics, 1994, 15(11): 971-980.

A Priori Estimayes to the maximum Modulus of Generalized Solutions of a Class of Quasilinear Elliptic Epuations with Anisotropic Growth Conditions

  • Received Date: 1993-12-02
  • Publish Date: 1994-11-15
  • In this paper we give a priori estimates for the maximum modulus of generalize.d solutions of the quasilinear elliptic equations with arisoteropic growth conditions.
  • loading
  • [1]
    Lu Wen-duan,The Dirichlet problem for a class of quasilinear elliptic equations of sencoad order,数学进展,14,(1985),276-278.
    [2]
    Lu Wen-duan,Dirichlet problem for a class of nonlinear elliptic equations,数学研究与评论,6(1988),51-56.
    [3]
    Chen Zu-chi and Shen Yao-tian,Nontrivial solutions of the Dirichlet problem for a class of nonlinear elliptic equation,Acta Math. Sci.,7 (1987),63-74.
    [4]
    Lu Wen-duan,Global boundedness for weak solutions of sencond order quasilinear elliptic equations in divergence from,J. Part. Diff. Equ.,Ser. B,.1,2 (1988),12-16. (in Chinese).
    [5]
    王向东、梁挂廷,一类椭圆型方程广义解灼有界性,坏化师院学报(自然科学版),9,(1990),89-96.
    [6]
    王向东,梁妞廷,The local boundedness for-solutions of quasilinear elliptic equatioas is aaisotropic Sobolev Spsce,应用数学.
    [7]
    Fusco,N. and C. Sbordone,Local boundedness of minimizers in a limited case,Manuscripts Math.,69 (1990),19-25.
    [8]
    Liang Xi-ting,Boundedness of minimizers of functionals involving critical growth exponent,Trans. Amer. Math. Soc..
    [9]
    梁(汲金)廷,王向东,A priori estimate for maximum modulus of generalized solutions of quasilinear elliptic equations,Appl,Math,(English ed).11(1990),941-953.
    [10]
    Liang Xi-ting and Wang Xiang-dong,A priori estimate for maximum modulus of generalized solutions of quasilinear elliptic equations,Appl. Math. and Mech. (English Ed.). 11. 10(1990). 941-953.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2466) PDF downloads(632) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return