A comparison result for a class of quasilinear elliptic partial differential equations |
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Authors: | Louis B Bushard |
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Affiliation: | Mathematics Section, Alliance Research Center, Babcock and Wilcox, Alliance, Ohio 44601 U.S.A. |
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Abstract: | A comparison theorem and a uniqueness corollary for positive solutions to the equation on the closure of a bounded open set are found. The important hypotheses on the nonlinear coefficients are that each pi is positive and monotone increasing in u while q is monotone decreasing in u. An application is made to equations arising in the theory of chemical reactors. |
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