Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces

Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces
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DOI:
10.1002/mana.200910083
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发表时间:
2010-03
影响因子:
1
通讯作者:
C. Bereanu;P. Jebelean;J. Mawhin
C. Bereanu;P. Jebelean;J. Mawhin
中科院分区:
数学3区
文献类型:
--
作者:
C. Bereanu;P. Jebelean;J. Mawhin

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本文研究了在欧几里德空间和闵可夫斯基空间中涉及平均曲率算子的球形和环形区域上Neumann问题径向解的存在性。我们的方法依赖于Leray - Schauder度以及非线性Neumann边值问题的一些不动点重构(©2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
In this paper we study the existence of radial solutions for Neumann problems in a ball and in an annular domain, associated to mean curvature operators in Euclidean and Minkowski spaces. Our approach relies on the Leray‐Schauder degree together with some fixed point reformulations of our nonlinear Neumann boundary value problems (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)