Year: 2001
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 12–20
Abstract
In this note we obtain a new a priori estimate for the very weak solutions of p-Laplacian type equations with VMO coefficients when p is close to 2, and then prove that the very weak solutions of such equations are the usual weak solutions. Our approath is based on the Hodge decomposition and the L^p-estimate for the corresponding linear equations. And this also provides a simpler proof for the results in [1].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JPDE-5465
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 12–20
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: p-Laplacian type