Riemann boundary value problems for nonlinear elliptic systems
- 1 February 1983
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 1 (2-3) , 239-261
- https://doi.org/10.1080/17476938308814017
Abstract
A boundary value problem is solved for the nonlinear first order complex differential equation in the plane. The complex function H is measurable on , Lipschitz continuous with respect to the last two variables, with the Lipschitz constant for the third variable being strictly less than one (ellipticity condition). Moreover, decay conditions at infinity are prescribed. As a boundary condition, the solution w is required to fulfill a classical jump condition, across a given smooth Jordan curve. As a special case, the results extend those already known for the linear equationKeywords
This publication has 4 references indexed in Scilit:
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- RIEMANN BOUNDARY VALUE PROBLEMPublished by Elsevier ,1966
- Quasikonforme AbbildungenPublished by Springer Nature ,1965