Existence and Perturbation Theorems for Nonlinear Maximal Monotone Operators in Banach Spaces by Felix E. Browder
نویسنده
چکیده
Such a set G is said to be maximal monotone if it is maximal among monotone sets in the sense of set inclusion, and a mapping T is said to be maximal monotone if its graph G(T) is a maximal monotone set. For reflexive Banach spaces X and mappings T with D(T)~X, the basic result obtained independently by Browder [2] and Minty [20] states that if T is a monotone operator from D(T)=X to X* which is hetnicontinuous, (i.e. continuous from each line segment in D(T) to the weak topology on X*), and coercive, i.e.
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8 Browder, F. E., "Strongly nonlinear parabolic boundary value problems," Amer. J. Math., in press. 9 Browder, F. E., "Nonlinear elliptic boundary value problems, II," Trans. Amer. Math. Soc., in press. 10 Browder, F. E., "Nonlinear equations of evolution," Ann. of Math., in press. 11 Browder, F. E., "On a theorem of Beurling and Livingston," Canad. J. Math., in press. 12 Browder, F. E., "Multi...
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