Integrability for Solutions of Anisotropic Obstacle Problems

Autor: Hongya Gao, Yanjie Zhang, Shuangli Li
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/2012/549285
Popis: This paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u have higher integrability as well.
Databáze: Directory of Open Access Journals