TITLE:
Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains
AUTHORS:
Guochun Wen, Dechang Chen
KEYWORDS:
blique Derivative Problems; Nonlinear Elliptic Equations; High Dimensional Domains
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
December
3,
2013
ABSTRACT:
This paper mainly concerns oblique derivative problems
for nonlinear nondivergent elliptic equations of second order with measurable
coefficients in a multiply connected domain. Under certain condition, we derive
a priori estimates of solutions. By using these estimates and the fixed-point
theorem, we prove the existence of solutions.