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Entire Solutions of Discrete Elliptic Equations |
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| Authors: | C. V. Pao S. S. Cheng |
| Affiliation: | (1) Department of Mathematics, North Carolina State University, Raleigh, North Carolina, 27695, U.S.A.;(2) Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043, R.O.C. |
| Abstract: | By means of the monotone methods, comparison theorems for the existence and uniqueness of solutions of discrete elliptic type partial difference equations are derived. These results enable us to find positive and bounded solutions to several specific equations.AMS Subject Classification (1991): 39A10. |
| Keywords: | Discrete elliptic type equation monotone method discrete Laplacian super-solution subsolution |
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