Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces
Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces
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DOI：
10.1007/s10231-012-0275-9
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发表时间：
2012-05
影响因子：
1
通讯作者：
Martin Väth
中科院分区：
文献类型：
--
作者：
Martin Väth
为了证明变分不等式的全局分支，需要知道与不等式相关的某些映射的局部映射度。给出了计算这些度的方法。在现有的结果相比，没有对称性的衍生工具需要假设应用这些方法。事实上，即使在Banach空间的背景下以及对于仅具有正齐次“导数”的非紧算子，整个方法也是可能的。
In order to prove global bifurcation for variational inequalities, it is useful to know local mapping degrees for certain maps associated to the inequalities. Some methods are provided to calculate these degrees. In contrast to existing results, no symmetry on the derivatives needs to be assumed to apply these methods. In fact, it is also shown that the whole approach is possible even in the setting of Banach spaces and for noncompact operators with only positively homogeneous “derivatives”.