2 papers
math.PR2024
Nonlinear Dirichlet problem of non-local branching processes
Lucian Beznea, Oana Lupascu-Stamate, Alexandra Teodor
We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branchin…
math.AP2023
Positive solutions to semilinear Dirichlet problems with general boundary data
Lucian Beznea, Alexandra Teodor
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…