Higher Integrability of the Gradient in Degenerate Elliptic Equations

被引：0
作者：
Pierre Dreyfuss
机构：
[1] Université Henri Poincaré Nancy 1,Institut Elie Cartan
来源：
Potential Analysis | 2007年 / 26卷
关键词：
degenerate elliptic equations; regularity of solutions; weights; 35B65; 35J70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that under some global conditions on the maximum and the minimum eigenvalue of the matrix of the coefficients, the gradient of the (weak) solution of some degenerate elliptic equations has higher integrability than expected. Technically we adapt the Giaquinta–Modica regularity method in some degenerate cases. When the dimension is two, a consequence of our result is a new Hölder continuity result for the weak solution.
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页码：101 / 119
页数：18
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