Some nonlinear boundary value problems for nonlinear elliptic equations of second order in the plane
- 1 August 1985
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 4 (3) , 189-204
- https://doi.org/10.1080/17476938508814105
Abstract
In this paper, we discuss some nonlinear Poincare boundary value problems for nonlinear uniformly elliptic equations of second order in a multiply connected domain by using the methods of complex functions. At first we propose some modified boundary value problems for nonlinear elliptic systems of first order and give a priori estimates of solutions for the modified problems. Afterwards applying the above results, the continuity method and Schauder fixed-point theorem, we prove that the above nonlinear Poincaré problems with some conditions has a solution.Keywords
This publication has 1 reference indexed in Scilit:
- on compound boundary value problem with shift for nonlinear elliptic complex equations of first orderComplex Variables and Elliptic Equations, 1982