Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (S1): 82-90.

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NONLINEAR IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

Wen Guochun   

  1. Institute of Mathoatics, Peking University, Beijing 100080, China
  • Received:1992-10-01 Online:1995-12-31 Published:1995-12-31

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

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