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Volume 2, Issue 2, Article 20 |
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Sub-super Solutions and the Existence of Extremal Solutions in Noncoercive Variational Inequalities
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Authors: |
Vy Khoi Le, |
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Keywords:
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subsolution, supersolution, extremal solution, variational inequality |
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Date Received:
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13/09/00 |
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Date Accepted:
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28/02/01 |
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Subject Codes: |
35J25,35J60,35J65,35J85
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Editors: |
Alexander M. Rubinov (1940-2006), |
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Abstract: |
The paper is concerned with the solvability of variational inequalities that contain second-order quasilinear elliptic operators and convex functionals. Appropriate concepts of sub- and supersolutions (for inequalities) are introduced and existence of solutions and extremal solutions are discussed.
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