Abstract
In this paper we provide an existence result for an implicitly given elliptic differential equation of the form $f(x,u,Lu)=0$ under Dirichlet boundary conditions. The peculiarity of this implicit equation is that the function $f$ may be discontinuous in all its arguments. The main tool used to treat this problem is a fixed point result in partially ordered sets based on a generalized iteration method combined with an appropriately modified method of upper and lower solutions.
Citation
S. Carl. S. Heikkilä. "Discontinuous implicit elliptic boundary value problems." Differential Integral Equations 11 (6) 823 - 834, 1998. https://doi.org/10.57262/die/1367329478
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