On Semilinear Elliptic Equation with Measurable Nonlinearity
Analysis of PDEs
2015-04-17 v2
Abstract
We consider a semilinear elliptic equation in a bounded domain with zero boundary conditions. The nonlinearity is discontinuous and monotone, but it is not a Carath\'eodory's function. The existence theorem has been proved.
Keywords
Cite
@article{arxiv.1307.1047,
title = {On Semilinear Elliptic Equation with Measurable Nonlinearity},
author = {Oleg Zubelevich},
journal= {arXiv preprint arXiv:1307.1047},
year = {2015}
}
Comments
this paper has been withdrawn by the author due to the results on the whole are not new