Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains

Guochun Wen, Dechang Chen

School of Mathematical Sciences, Peking University, Beijing, China.
Uniformed Services University of the Health Sciences, Bethesda, USA.

DOI: 10.4236/am.2013.412225                

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.

Keywords

blique Derivative Problems; Nonlinear Elliptic Equations; High Dimensional Domains

Conflicts of Interest

The authors declare no conflicts of interest.

References

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