各向异性增长拟线性椭圆型方程广义解最大模的先验估计
A Priori Estimayes to the maximum Modulus of Generalized Solutions of a Class of Quasilinear Elliptic Epuations with Anisotropic Growth Conditions
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摘要: 本文我们第一次给出了几类各向异性增长拟线性椭圆型方程广义解的最大模的先验估计。
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关键词:
- 拟线性椭圆方程 /
- 非标准增长条件 /
- 各向异性Sobolev空间 /
- 广义解 /
- 最大模的先验估计
Abstract: 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. -
[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.
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