Nonlinear elliptic equations with integro-differential divergence form operators and measure data under sign condition on the nonlinearity

Autor:	Klimsiak, Tomasz
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We study existence problem for semilinear equations with Borel measure data and operator generated by a symmetric Markov semigroup. We assume merely that the nonlinear part satisfies the so-called sign condition. Using the method of sub and supersolutions we show the existence of maximal measure for which there exists a solution to the problem (the so-called reduced measure introduced by H. Brezis, M. Marcus and A.C. Ponce).
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.04393 Zobrazit plný text záznamu View this record from Arxiv