PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 384-392.

PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE

戴道清

Dept of math., Zhongshan University, Guangzhou 510275, China

收稿日期:1992-08-24 出版日期:1994-12-25 发布日期:1994-12-25
基金资助:
This research supported in Part by the National Natural Science Foundation of China and the Natural Science Foundation of Guangdong.

PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE

Dai DaoQing

Dept of math., Zhongshan University, Guangzhou 510275, China

Received:1992-08-24 Online:1994-12-25 Published:1994-12-25
Supported by:
This research supported in Part by the National Natural Science Foundation of China and the Natural Science Foundation of Guangdong.

摘要/Abstract

摘要： The Riemann boundary value problem is solved for the nonlinear elliptic equation in the plane
W_z=H(z,W,W_z) + f(z,W).The function H is Lipschitz continuous with respect to the last two variables, with the Lipschitz constant for the last variable being strictly less than one (ellipticity condition). While the function f satisfies a natural growth condition with σ > 0.
|f(z,W)| ≤ F(z)|W|^σ.

戴道清. PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE[J]. 数学物理学报(英文版), 1994, 14(4): 384-392.

Dai DaoQing. PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE[J]. Acta mathematica scientia,Series B, 1994, 14(4): 384-392.

PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE

PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE

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