A topological degree theory for constrained problems with compact perturbations and application to nonlinear parabolic problem
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗be maximal monotone, S:X→2X∗be bounded of type (S+)and C:X⊇D(C)→2X∗be compact with D(T)⊆D(C). A degree theory is developed for operators of the type T+S+C. In general, the ope...
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Format: | Article |
Language: | English |
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Elsevier
2021-06-01
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Series: | Partial Differential Equations in Applied Mathematics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S266681812030019X |