In this paper, we consider a class of anisotropic quasilinear elliptic equations of the type ? ?? ?? ? X N i=1 ? i ai(x, u, ?u) |u| s(x)?1u = f(x, u), in ?, u = 0 on ??, where f(x, s) is a Carathéodory function which satisfies some growth condition. We prove the existence of renormalized solutions for our Dirichlet problem, and some regularity results are concluded.
展开▼
机译：在本文中，我们考虑了一类类型的各向异性Quasilinear椭圆方程式？当当还是x n i = 1？我（x，你，？U）|你| s（x）？1u = f（x，u），在？，u = 0上，其中f（x，s）是满足一些生长条件的Carathéodory函数。我们证明了对我们的Dirichlet问题的重新运行解决方案的存在，结束了一些规律性结果。
展开▼
