| The Regularity of the Weak Solutions for the $N$-Dimensional Quasilinear Elliptic Equations with Discontinuous Coefficients |
| Received:September 20, 2006 Revised:May 24, 2007 |
| Key Words:
Quasilinear elliptic equation discontinuous coefficients weak solution regularity.
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| Fund Project:the Foundation of Sichuan College of Education (No.2006015). |
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| Abstract: |
| The $n$-dimensional quasilinear elliptic equations with discontinuous coefficients are studied. Using estimate and difference approach methods, we prove that the first derivatives of the weak solutions are continuous in the sense of H\"{o}lder up to the inner boundary on which the coefficients are discontinuous. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.04.005 |
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