Harnack Inequality for Quasilinear Elliptic Equations in Generalized Orlicz-Sobolev Spaces
In this paper we prove, by a new method, the Harnack inequality for positive solutions of quasilinear elliptic equations in the generalized Orlicz-Sobolev space setting. Our approach is based on the usage of the Φ-functions associated to generalized Φ-functions and the Moser’s iteration technique. A...
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| Veröffentlicht in: | Potential analysis 2020-08, Vol.53 (2), p.631-643 |
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| container_title | Potential analysis |
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| creator | Benyaiche, Allami Khlifi, Ismail |
| description | In this paper we prove, by a new method, the Harnack inequality for positive solutions of quasilinear elliptic equations in the generalized Orlicz-Sobolev space setting. Our approach is based on the usage of the Φ-functions associated to generalized Φ-functions and the Moser’s iteration technique. As a consequence, we obtain the Hölder continuity of bounded solutions of such equations. |
| doi_str_mv | 10.1007/s11118-019-09781-z |
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| subjects | Continuity (mathematics) Elliptic functions Functional Analysis Geometry Mathematical analysis Mathematics Mathematics and Statistics Potential Theory Probability Theory and Stochastic Processes Sobolev space |
| title | Harnack Inequality for Quasilinear Elliptic Equations in Generalized Orlicz-Sobolev Spaces |
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