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The Skrypnik Degree Theory and Boundary Value Problems

偏微分方程分析 2007-05-23 v1

摘要

The paper presents theorems on the calculation of the index of a singular point and at the infinity of monotone type mappings. These theorems cover basic cases when the principal linear part of a mapping is degenerate. Applications of these theorems to proving solvability and nontrivial solvability of the Dirichlet problem for ordinary and partial differential equations are considered.

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引用

@article{arxiv.math/0701550,
  title  = {The Skrypnik Degree Theory and Boundary Value Problems},
  author = {A. P. Kovalenok and P. P. Zabreiko},
  journal= {arXiv preprint arXiv:math/0701550},
  year   = {2007}
}

备注

9 pages