Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 49 Issue 6
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- Pages.1241-1250
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- 2012
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DOI QR Code
MAXIMUM PRINCIPLE AND COMPARISON PRINCIPLE OF p-HARMONIC FUNCTIONS VIA p-HARMONIC BOUNDARY OF GRAPHS
- Lee, Yong Hah (Department of Mathematics Education Ewha Womans University)
- Received : 2010.09.29
- Published : 2012.11.30
Abstract
We prove the maximum principle and the comparison principle of
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Acknowledgement
Supported by : National Research Foundation of Korea(NRF)
References
- I. Holopainen and P. M. Soardi, p-harmonic functions on graphs and manifolds, Manuscripta Math. 94 (1997), no. 1, 95-110. https://doi.org/10.1007/BF02677841
- J.-H. Kim and S.-Y. Chung, Comparison principles for the p-Laplacian on nonlinear networks, J. Difference Equ. Appl. 16 (2010), no. 10, 1151-1163. https://doi.org/10.1080/10236190902787633
- M. Yamasaki, Ideal boundary limit of discrete Dirichlet functions, Hiroshima Math. J. 16 (1986), no. 2, 353-360.