Positive solutions to semilinear Dirichlet problems with general boundary data

Autor:	Beznea, Lucian, Teodor, Alexandra
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35J65 60J45 60J35 60J57 31C05 60J65
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.00126 Zobrazit plný text záznamu View this record from Arxiv