A Variational Approach to Upper and Lower Solutions |
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Authors: | GRAHAM-EAGLE JAMES |
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Institution: |
Department of Mathematical Sciences, The University of Delaware Newark, Delaware 19716, USA
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Abstract: | Traditional proofs of the upper and lower solution existenceresults for nonlinear elliptic equations use monotone iterationschemes based on the maximum principle. In this paper, a directvariational method is employed which characterizes the solutionas the global minimum of a functional on a closed convex set. |
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