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The strong minimum principle for quasisuperminimizers of non-standard growth |
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| Authors: | P Harjulehto V Latvala |
| Institution: | a Department of Mathematics and Statistics, P.O. Box 68, FI-00014 University of Helsinki, Finland b Department of Mathematical Sciences, P.O. Box 3000, FI-90014 University of Oulu, Finland c Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland |
| Abstract: | We prove the strong minimum principle for non-negative quasisuperminimizers of the variable exponent Dirichlet energy integral under the assumption that the exponent has modulus of continuity slightly more general than Lipschitz. The proof is based on a new version of the weak Harnack estimate. |
| Keywords: | 49N60 35B50 35J60 |
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