Positive solutions to semilinear Dirichlet problems with general boundary data
Analysis of PDEs
2023-12-04 v1
Abstract
We give a probabilistic representation of the solution to a semilinear elliptic Dirichlet problem with general (discontinuous) boundary data. The boundary behaviour of the solution is in the sense of the controlled convergence initiated by A. Cornea. Uniqueness results for the solution are also provided.
Cite
@article{arxiv.2312.00126,
title = {Positive solutions to semilinear Dirichlet problems with general boundary data},
author = {Lucian Beznea and Alexandra Teodor},
journal= {arXiv preprint arXiv:2312.00126},
year = {2023}
}