Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
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Publication:5513454
DOI10.2307/1993964zbMath0138.39903OpenAlexW4253716209MaRDI QIDQ5513454
Publication date: 1965
Full work available at URL: https://doi.org/10.2307/1993964
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Cites Work
- A theorem on duality mappings in Banach spaces
- Monotone (nonlinear) operators in Hilbert space
- Non-linear equations of evolution
- The solvability of non-linear functional equations
- Nonlinear elliptic boundary value problems
- Nonlinear elliptic problems. II
- Nonlinear Elliptic Boundary Value Problems. II
- On a Theorem of Beurling and Livingston
- Nonlinear parabolic boundary value problems of arbitrary order
- Strongly Non-Linear Parabolic Boundary Value Problems
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS, III
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS, II
- ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
