The Skrypnik Degree Theory and Boundary Value Problems

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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.
9 pages

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Analysis of PDEs, 47H11; 34B15; 35G25

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http://salesiana.dossiersoluciones.com/handle/123456789/122311

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701550
 http://arxiv.org/abs/math/0701550

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arXiv