The higher differentiability of solutions to variational problems of quadratic growth

Autor:	Arrigo Cellina
Rok vydání:	2020
Předmět:	010101 applied mathematics Quadratic growth Pure mathematics Applied Mathematics 010102 general mathematics Differentiable function 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Journal of Differential Equations. 268:813-824
ISSN:	0022-0396
Popis:	We prove the local higher differentiability of solutions to the problem of minimising ∫ Ω [ L ( ∇ v ( x ) ) + f ( x ) v ( x ) ] d x on u 0 + W 1 , 2 0 ( Ω ) without assuming any regularity of L and for f ∈ L 2 ( Ω ) .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e7d52d7645383527f8a5444235ce37e5 https://doi.org/10.1016/j.jde.2019.08.029 Zobrazit plný text záznamu Full Text from ScienceDirect