TY - JOUR
T1 - Nonlinear Degenerate Oblique Boundary Value Problems for Second Order Fully Nonlinear Elliptic Equations
AU - Bao Jiguang
JO - Journal of Partial Differential Equations
VL - 2
SP - 55
EP - 62
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5798.html
KW - Nonlinear degenerate oblique value problems
KW - oblique derivative boundary estimate
AB -  In this paper we study the existence theorem for solution of the nonlinear degenerate oblique boundary value problems for second order fully nonlinear elliptic equations F(x, u, Du, D&sup2u) = 0 \quad x &#8712 &#937, G(x, u, D, u) = 0, \qquad x &#8712 &#8706&#937 where F (x, z, p, r) satisfies the natural structure conditions, G (x, z, q) satisfies G_q &#8805 0, G_x &#8804 - G_0 < 0 and some structure conditions, vector &#964 is nowhere tangential to &#8706&#937. This result extends the works of Lieberman G. M., Trudinger N. S. [2], Zhu Rujln [1] and Wang Feng [6].