| On Boundary Value Problems with the Shift for Nonlinear Elliptic Equations of Second Order |
| Received:April 20, 1982 |
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| Abstract: |
| In this paper, we consider the boundary value problem with the shift for nonlinear uniformly elliptic equations of second order in a multiply connected domain. For this sake, we propose a modified boundary value problem for nonlinear elliptic systems of first order equations, and give a priori estimates of solutions for the modified boundary value problem. Afterwards we prove by using the Schauder fixedpoint theorem that this boundary value problem with some conditions has a solution. The result obtained is the generlization of the corresponding theorem on the Poincare boundary value problem. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1984.03.022 |
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