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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…
math.AP2023
Nonlinear Dirichlet forms associated with quasiregular mappings
Camelia Beznea, Lucian Beznea, Michael Roeckner
If is a symmetric, regular, strongly local Dirichlet form on , admitting a carré du champ operator , and is a real number, then one can d…