Nonlinear boundary value problems for elliptic systems in the plane
- 29 May 1995
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 27 (3) , 193-210
- https://doi.org/10.1080/17476939508814817
Abstract
The solvability of a wide class of nonlinear boundary value problems of Riemann–Hilbert type of generalized analytic functions (in the sense of Vekua) is shown. Applications to nonlinear boundary value problems of Poincaré type for elliptic equations of second order are discussed.Keywords
This publication has 9 references indexed in Scilit:
- Conformal Mappings and Boundary Value ProblemsPublished by American Mathematical Society (AMS) ,1992
- Integral Equations and Boundary Value ProblemsPublished by World Scientific Pub Co Pte Ltd ,1990
- Topological Methods for Strongly Nonlinear Riemann-Hilbert Problems for Holomorphic FunctionsMathematische Nachrichten, 1987
- Some nonlinear boundary value problems for nonlinear elliptic equations of second order in the planeComplex Variables and Elliptic Equations, 1985
- Eine Lösungsmethode für das Randwert‐Sprung‐Problem für implizite partielle Differentialgleichungssysteme in der EbeneMathematische Nachrichten, 1984
- The Hilbert boundary value problem for nonlinear elliptic systemsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1983
- Nonlinear boundary value problems of Riemann-Hilbert typeContemporary Mathematics, 1982
- Monotonicity Methods for a Class of First Order Semilinear Elliptic Differential Equation Systems in the PlaneMathematische Nachrichten, 1981
- Das Randwert-Normproblem für ein fastlineares elliptisches System und eine AnwendungAnnales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1977