TY - JOUR
T1 - Very Weak Solutions of *p*-Laplacian Type Equations with VMO Coefficients
JO - Journal of Partial Differential Equations
VL - 1
SP - 12
EP - 20
PY - 2001
DA - 2001/02
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5465.html
KW - p-Laplacian type
KW - VMO coefficients
KW - very weak solution
AB - 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].