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Vietnam
Journal of Mathematics 37:2&3 (2009) 255-272
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On Partially Elliptic and Coercive Boundary
Problems
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Tran Minh Binh,
Duong Minh Duc, and Nguyen Duy Thanh
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Abstract. Applying iteration method, we prove
fixed point theorems for operators, which may neither be continuous nor
monotone. Using these results and some considerations in sub-supersolution
methods, we can partially relax the coercivity, ellipticity and compactness
in some boundary problems.
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2000 Mathematics Subject Classification: 47H07, 47H10,
35J55, 35J67.
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Keywords: Monotone operators, Fixed point theorems,
Boundary value problems.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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