Abstract
In recent years, the researching on regularity of Harmonic Equation and obstacle problems has made a great progress, although the regularity of very weak solutions for double obstacle problems are not been studied. In this paper, the basic tool for the Young inequality, Hölder inequality, Minkowski inequality, Poincaré inequality and a basic inequality. The definition of very weak solutions for double obstacle problems associated with non-homogeneous elliptic equation is given, and the local integrability result is obtained by using the technique of Hodge decomposition.
This paper is fully supported by the National Science Infrastructure Program of Hebei (No.A2010000910).
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Xu, X., Lu, X., Tong, Y. (2010). A Result Related to Double Obstacle Problems. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_68
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DOI: https://doi.org/10.1007/978-3-642-16336-4_68
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