NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (S1): 82-90.

NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

闻国椿

Institute of Mathoatics, Peking University, Beijing 100080, China

收稿日期:1992-10-01 出版日期:1995-12-31 发布日期:1995-12-31

NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

Wen Guochun

Institute of Mathoatics, Peking University, Beijing 100080, China

Received:1992-10-01 Online:1995-12-31 Published:1995-12-31

摘要/Abstract

摘要： In this paper, we discuss nonlinear irregular oblique derivative problems for fully nonlinear uniformly elliptic equations of second order. Under certain natural structure conditions. we give a priori estimates of solutions for the above boundary value problems, and then prove the existence and uniqueness of the classical solution of the boundary value problems.

关键词: Priori estimates, Boundary value problem, Exixtence and uniqueness

Abstract: In this paper, we discuss nonlinear irregular oblique derivative problems for fully nonlinear uniformly elliptic equations of second order. Under certain natural structure conditions. we give a priori estimates of solutions for the above boundary value problems, and then prove the existence and uniqueness of the classical solution of the boundary value problems.

Key words: Priori estimates, Boundary value problem, Exixtence and uniqueness

闻国椿. NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS[J]. 数学物理学报(英文版), 1995, 15(S1): 82-90.

Wen Guochun. NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS[J]. Acta mathematica scientia,Series B, 1995, 15(S1): 82-90.

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NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

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