右端为测度的拟线性椭圆方程的弗雷德霍姆择一定理
偏微分方程分析
2017-08-25 v2
摘要
我们考虑一个右端为测度的拟线性椭圆方程，其不满足通常的强制性假设。我们沿着弗雷德霍姆择一定理的思路证明了存在性结果。为此，我们发展了适用于该背景的度理论的一个变体。
引用
@article{arxiv.1510.04201,
title = {A Fredholm alternative for quasilinear elliptic equations with right hand side measure},
author = {Michele Colturato and Marco Degiovanni},
journal= {arXiv preprint arXiv:1510.04201},
year = {2017}
}
备注
32 pages. With respect to the previous version, the proof of Theorem 1.1 has been divided in the new Lemma 4.1 and the remaining part