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Vietnam Journal of Mathematics 37:2&3 (2009) 255-272 

On Partially Elliptic and Coercive Boundary Problems

Tran Minh Binh, Duong Minh Duc, and Nguyen Duy Thanh

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.

2000 Mathematics Subject Classification: 47H07, 47H10, 35J55, 35J67.

Keywords: Monotone operators, Fixed point theorems, Boundary value problems.

 

 

 

 

 

 

 

 

 

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