An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions
We present an elementary proof of the Harnack inequality for non-negative viscosity supersolutions of $Delta_{infty}u=0$. This was originally proven by Lindqvist and Manfredi using sequences of solutions of the $p$-Laplacian. We work directly with the $Delta_{infty}$ operator using the distance func...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/44/abstr.html |