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- W2075431036 abstract "Let X be an infinite dimensional real reflexive Banach space with dual space X∗ and G⊂X, open and bounded. Assume that X and X∗ are locally uniformly convex. Let T:X⊃D(T)→2X∗ be maximal monotone and strongly quasibounded, S:X⊃D(S)→X∗ maximal monotone, and C:X⊃D(C)→X∗ strongly quasibounded w.r.t. S and such that it satisfies a generalized (S+)-condition w.r.t. S. Assume that D(S)=L⊂D(T)∩D(C), where L is a dense subspace of X, and 0∈T(0),S(0)=0. A new topological degree theory is introduced for the sum T+S+C, with degree mapping d(T+S+C,G,0). The reason for this development is the creation of a useful tool for the study of a class of time-dependent problems involving three operators. This degree theory is based on a degree theory that was recently developed by Kartsatos and Skrypnik just for the single-valued sum S+C, as above." @default.
- W2075431036 created "2016-06-24" @default.
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- W2075431036 date "2011-10-01" @default.
- W2075431036 modified "2023-10-01" @default.
- W2075431036 title "A new topological degree theory for perturbations of the sum of two maximal monotone operators" @default.
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- W2075431036 doi "https://doi.org/10.1016/j.na.2011.04.023" @default.
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