Title of article
The index of an isolated critical point for a class of non-differentiable elliptic operators in reflexive Banach spaces
Author/Authors
Athanassios G. Kartsatos، نويسنده , , Igor V. Skrypnik، نويسنده , , Vladimir N. Shramenko، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
43
From page
189
To page
231
Abstract
This paper is motivated by the problem of computing the index of an isolated critical point for a certain class of nonlinear elliptic operators. Such a class includes operators A which are defined by and are associated with boundary value problems of the type where , is open, bounded and has a C2-boundary ∂Ω. As an application of our new abstract theory, we obtain an index formula for such an operator A acting from the Sobolev space into its dual space for 1
Keywords
Reflexive separable Banach space , Densely defined operators of type (S+) , Degree theory fordensely defined (S+)-type operators , Non-differentiable operators , Index of an isolated critical point , Nonlinear elliptic PDEs , Bifurcation points
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2005
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750660
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