论文标题

使用差分不平等

Hölder continuity for the $p$-Laplace equation using a differential inequality

论文作者

Høeg, Fredrik Arbo

论文摘要

我们研究Hölder的连续性,用于$ p $ laplace方程的解决方案。这是通过涉及普通微分不平等的方法建立的,与De Giorgi-Nash-Moser定理的经典证明相反,该方法利用通过同心球对不平等的迭代进行了迭代。

We study Hölder continuity for solutions of the $p$-Laplace equation. This is established through a method involving an ordinary differential inequality, in contrast to the classical proof of the De Giorgi-Nash-Moser Theorem which uses iteration of an inequality through concentric balls.

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