Harnack inequality for non-divergence structure semi-linear elliptic equations
In this paper we establish a Harnack inequality for non-negative solutions of Lu=f(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-08-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2016-0050 |
| _version_ | 1818362794711449600 |
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| author | Mohammed Ahmed Porru Giovanni |
| author_facet | Mohammed Ahmed Porru Giovanni |
| author_sort | Mohammed Ahmed |
| collection | DOAJ |
| description | In this paper we establish a Harnack inequality for non-negative solutions of Lu=f(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity. |
| first_indexed | 2024-12-13T21:38:15Z |
| format | Article |
| id | doaj.art-3213cb30420b452eb53ff75e9ad29e0c |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-13T21:38:15Z |
| publishDate | 2018-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-3213cb30420b452eb53ff75e9ad29e0c2022-12-21T23:30:37ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2018-08-017325926910.1515/anona-2016-0050Harnack inequality for non-divergence structure semi-linear elliptic equationsMohammed Ahmed0Porru Giovanni1Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, USADipartimento di Matematica e Informatica, University of Cagliari, Cagliari, ItalyIn this paper we establish a Harnack inequality for non-negative solutions of Lu=f(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.https://doi.org/10.1515/anona-2016-0050non-divergence structure elliptic operatorharnack inequalitylarge solution, alexandroff–bakelman–pucci maximum principle |
| spellingShingle | Mohammed Ahmed Porru Giovanni Harnack inequality for non-divergence structure semi-linear elliptic equations Advances in Nonlinear Analysis non-divergence structure elliptic operator harnack inequality large solution, alexandroff–bakelman–pucci maximum principle |
| title | Harnack inequality for non-divergence structure semi-linear elliptic equations |
| title_full | Harnack inequality for non-divergence structure semi-linear elliptic equations |
| title_fullStr | Harnack inequality for non-divergence structure semi-linear elliptic equations |
| title_full_unstemmed | Harnack inequality for non-divergence structure semi-linear elliptic equations |
| title_short | Harnack inequality for non-divergence structure semi-linear elliptic equations |
| title_sort | harnack inequality for non divergence structure semi linear elliptic equations |
| topic | non-divergence structure elliptic operator harnack inequality large solution, alexandroff–bakelman–pucci maximum principle |
| url | https://doi.org/10.1515/anona-2016-0050 |
| work_keys_str_mv | AT mohammedahmed harnackinequalityfornondivergencestructuresemilinearellipticequations AT porrugiovanni harnackinequalityfornondivergencestructuresemilinearellipticequations |