The Harnack inequality for infinity-harmonic functions
solutions of the equation $ Delta_infty u = 0 $ is proved, extending a previous result of L.C. Evans for smooth solutions. The method of proof consists in considering $ Delta_infty u = 0 $ as the limit as $poinfty$ of the more familiar $p$-harmonic equation $Delta_p u=0$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1995-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1995/04/abstr.html |