Integrability for Solutions of Anisotropic Obstacle Problems-Reference-Cited by-同舟云学术

Integrability for Solutions of Anisotropic Obstacle Problems

Published:2012 Issue: Volume:2012 Page:1-6
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Gao Hongya¹,Zhang Yanjie¹,Li Shuangli¹

Affiliation:

1. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China

Abstract

This paper deals with anisotropic obstacle problem for the𝒜-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 solutionsuhave higher integrability as well.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2012/549285.pdf

Reference11 articles.

1. Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions

2. Weak minima of variational integrals.

3. Integrability for solutions to some anisotropic elliptic equations

4. Sharp regularity for functionals with (p,q) growth

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2. Integrability for solutions to some anisotropic obstacle problems;Manuscripta Mathematica;2014-09-18

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