On the semi-monotone operator theory and applications
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Publication:1283004
DOI10.1006/jmaa.1998.6245zbMath0934.47031OpenAlexW2092927030MaRDI QIDQ1283004
Publication date: 10 April 2000
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6245
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Degree theory for nonlinear operators (47H11) Variational methods for elliptic systems (35J50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational inequalities and flow in porous media
- Variational inequalities with nonmonotone operators
- Variational inequalities for monotone operators in nonreflexive Banach spaces
- On some non-linear elliptic differential functional equations
- Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
- Fixed point theory and nonlinear problems
- Variational and topological methods in nonlinear problems
- Note on the topological degree of the subdifferential of a lower semi-continuous convex function
- On accretive operators in cones of Banach spaces
- On the generalization of a direct method of the calculus of variations
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces
- Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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