Nonlinear functional analysis and nonlinear partial differential equations

Browder, E.

Displaying similar documents to “Nonlinear functional analysis and nonlinear partial differential equations”

The aftermath of the intermediate value theorem.

Fierro, Raul, Martinez, Carlos, Morales, Claudio H. (2004)

Fixed Point Theory and Applications [electronic only]

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Monotone operators. A survey directed to applications to differential equations

Jan Franců (1990)

Aplikace matematiky

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The paper deals with the existence of solutions of the form $A u = b$ with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions $S$ and $M$ . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition ${(M)}_{0}$ . The second part which has a character of a survey compares various...

Minimal convex-valued weak USCO correspondences

Luděk Jokl (1987)

Commentationes Mathematicae Universitatis Carolinae

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Multivalued monotone mappings are almost everywhere single-valued

P. Kenderov (1976)

Studia Mathematica

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Some properties of monotone type multivalued operators in Banach spaces

Josef Kolomý (1993)

Mathematica Bohemica

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Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach spaces.

Sets in the ranges of nonlinear accretive operators in Banach spaces

Athanassios Kartsatos (1995)

Studia Mathematica

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Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and $M \cap \bar{T (\partial G)} = \emptyset$ . Then $M \subset \bar{T G}$ . If, moreover, Case (i) or (ii) holds and T is of type $(S_{1})$ , or Case (iii) holds and T is of type $(S_{2})$ , then M ⊂ TG. Various results...