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The monotonicity method in the study of nonlinear differential equations: the existence of solutions of elliptic nonlinear equations with monotone operators. O. V. Solonukha Federal Research Center ‘Informatics and Control’ of Russian Academy of Science |
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Abstract: The talk presents the classical results on the solvability of operator equations with a monotone operator. The types of monotone operators and their important properties are considered. Examples of operators in Sobolev spaces are given. |