Abstract

For an elliptic \(p(x)\)-Laplacian with a piecewise constant three-phase exponent \(p\) in the plane with three phases joining at a point, a Harnack inequality is proved and the Hölder continuity of the solution is established.

中文翻译：

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具有三相指数p（x）的椭圆p（x）-Laplacian的Harnack不等式

摘要

对于在一个点上具有三个相接的平面中具有分段恒定三相指数\（p \）的椭圆\（p（x）\）-拉普拉斯算子，证明了Harnack不等式，并且解的Hölder连续性是成立。