Nonlinear problems with unbounded coefficients and L1 data

Autor:	Olivier Guibé, Filomena Feo
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Class (set theory) Renormalized solutions Applied Mathematics Blow-up Geodetic datum Existence Nonlinear equations Blowing up Integrable data Matrix (mathematics) Nonlinear system Applied mathematics Value (mathematics) Analysis Mathematics
Popis:	We consider a class of nonlinear elliptic problems whose prototype involves a coefficients matrix blowing up for a finite value m of the unknown u. Since datum is in $$L^1$$ , a suitable notion of renormalized solutions is introduced taking into account that u can reach the value m and the existence of such solutions is proved. We study the corresponding evolution problem as well.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e6a0fdafdf68b4078cabd4cb8cf1f91 http://hdl.handle.net/11367/86511 Zobrazit plný text záznamu