The Skrypnik Degree Theory and Boundary Value Problems
Analysis of PDEs
2007-05-23 v1
Abstract
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.
Cite
@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}
}
Comments
9 pages