论文标题
无限制的方程式超溶液具有普遍性的Orlicz增长
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
论文作者
论文摘要
我们研究了具有广义Orlicz(Musielak-orlicz)生长的椭圆形偏微分方程的无界弱超溶液。我们表明,如果它们属于合适的Lebesgue或Sobolev空间,它们可以满足最佳指数的弱小不平等。此外,我们确定了中心假设的清晰度。
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak--Orlicz) growth. We show that they satisfy the weak Harnack inequality with optimal exponent provided that they belong to a suitable Lebesgue or Sobolev space. Furthermore, we establish the sharpness of our central assumptions.