AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (3): 271-277.

AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER

闻国椿¹, 黄沙²

1. Department of Mathematics, Peking University, Beijing 100871, China;
2. Department of Mathematics, Hebei Normal University, Shijiazhung 050016, China

收稿日期:1996-05-27 出版日期:1998-09-25 发布日期:1998-09-25
基金资助:
The project was supported by National National Science Foundation of China and NSF of Hebei Province (and Hebei educational committee).

AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER

Wen Guochun¹, Huang Sha²

1. Department of Mathematics, Peking University, Beijing 100871, China;
2. Department of Mathematics, Hebei Normal University, Shijiazhung 050016, China

Received:1996-05-27 Online:1998-09-25 Published:1998-09-25
Supported by:
The project was supported by National National Science Foundation of China and NSF of Hebei Province (and Hebei educational committee).

摘要/Abstract

摘要： This paper deals the irregular oblique derivative problem for some nonlinear elliptic equations of second order. First a priori estimates of solutions are given, after wards by using the above estimates of solutions and the Schauder fixed-point theorem, the existence of solutions for the above boundary value problems is proved.

关键词: Irregular oblique derivative problem, Nonlinear elliptic equations, A priori estimates

Abstract: This paper deals the irregular oblique derivative problem for some nonlinear elliptic equations of second order. First a priori estimates of solutions are given, after wards by using the above estimates of solutions and the Schauder fixed-point theorem, the existence of solutions for the above boundary value problems is proved.

Key words: Irregular oblique derivative problem, Nonlinear elliptic equations, A priori estimates

闻国椿, 黄沙. AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER[J]. 数学物理学报(英文版), 1998, 18(3): 271-277.

Wen Guochun, Huang Sha. AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER[J]. Acta mathematica scientia,Series B, 1998, 18(3): 271-277.

[1]	董荣, 李东升. UNIFORM HÖLDER ESTIMATES FOR A TYPE OF NONLINEAR ELLIPTIC EQUATIONS WITH RAPIDLY OSCILLATORY COEFFICIENTS[J]. 数学物理学报(英文版), 2017, 37(6): 1841-1860.
[2]	Bernd Kawohl, Nikolai Kutev. A STUDY ON GRADIENT BLOW UP FOR VISCOSITY SOLUTIONS OF FULLY NONLINEAR, UNIFORMLY ELLIPTIC EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(1): 15-40.
[3]	范丽丽, 刘红霞, 尹慧. DECAY ESTIMATES OF PLANAR STATIONARY WAVES FOR DAMED WAVE EQUATIONS WITH NONLINEAR CONVECTION IN#br# MULTI-DIMENSIONAL HALF SPACE[J]. 数学物理学报(英文版), 2011, 31(4): 1389-1410.
[4]	Sadek Gala. REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES[J]. 数学物理学报(英文版), 2010, 30(5): 1413-1418.
[5]	姚磊; 汪文军. COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY, VACUUM AND GRAVITATIONAL FORCE IN THE CASE OF GENERAL PRESSURE[J]. 数学物理学报(英文版), 2008, 28(4): 801-817.
[6]	闻国椿. SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR DEGENERATE ELLIPTIC#br# EQUATIONS OF SECOND ORDER[J]. 数学物理学报(英文版), 2007, 27(3): 663-672.
[7]	朱长江. THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS[J]. 数学物理学报(英文版), 1996, 16(2): 209-217.
[8]	朱长江, 赵会江. EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR TWO IMPORTANT NONSTRICTLY QUASILINEAR HYPERBOLIC SYSTEMS[J]. 数学物理学报(英文版), 1995, 15(1): 48-57.

AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER

AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

Metrics

本文评价

推荐阅读 10