On Strongly Nonlinear Poincaré Boundary Value Problems for Harmonic Functions
Lothar von Wolfersdorf
Technische Universität, Freiberg, Germany
![On Strongly Nonlinear Poincaré Boundary Value Problems for Harmonic Functions cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-3-issue-5.png&w=3840&q=90)
Abstract
A class of strongly nonlinear Poincaré problems for harmonic functions in the unit disk is studied by reducing them to a new integral equation system to which Schauder’s fixed point theorem is applied. Specific existence results are given for several special cases, in particular the quasilinear case is dealt with in detail.
Cite this article
Lothar von Wolfersdorf, On Strongly Nonlinear Poincaré Boundary Value Problems for Harmonic Functions. Z. Anal. Anwend. 3 (1984), no. 5, pp. 385–399
DOI 10.4171/ZAA/116