Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem. Using barrier function and applying the comparison principle, we find the exact expone...
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| Format: | Article |
| Language: | English |
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Sciendo
2017-07-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.1515/auom-2017-0030 |
| _version_ | 1818745012273283072 |
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| author | Wiśniewski Damian |
| author_facet | Wiśniewski Damian |
| author_sort | Wiśniewski Damian |
| collection | DOAJ |
| description | We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem. Using barrier function and applying the comparison principle, we find the exact exponent of weak solutions decreasing rate near the infinity. |
| first_indexed | 2024-12-18T02:53:26Z |
| format | Article |
| id | doaj.art-58787b9706294cc4a714c4de8d1e8bb5 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-18T02:53:26Z |
| publishDate | 2017-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-58787b9706294cc4a714c4de8d1e8bb52022-12-21T21:23:24ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352017-07-0125220122410.1515/auom-2017-0030Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domainsWiśniewski Damian0Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Sloneczna 54, 10-710 Olsztyn, PolandWe investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem. Using barrier function and applying the comparison principle, we find the exact exponent of weak solutions decreasing rate near the infinity.https://doi.org/10.1515/auom-2017-0030elliptic divergence quasi-linear equationsweak solutionsunbounded do- mainscomparison principlebarrier functionprimary 35d3035j2535j62secondary 35a2335b4035b4535b51 |
| spellingShingle | Wiśniewski Damian Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica elliptic divergence quasi-linear equations weak solutions unbounded do- mains comparison principle barrier function primary 35d30 35j25 35j62 secondary 35a23 35b40 35b45 35b51 |
| title | Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains |
| title_full | Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains |
| title_fullStr | Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains |
| title_full_unstemmed | Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains |
| title_short | Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains |
| title_sort | best possible estimates of weak solutions of boundary value problems for quasi linear elliptic equations in unbounded domains |
| topic | elliptic divergence quasi-linear equations weak solutions unbounded do- mains comparison principle barrier function primary 35d30 35j25 35j62 secondary 35a23 35b40 35b45 35b51 |
| url | https://doi.org/10.1515/auom-2017-0030 |
| work_keys_str_mv | AT wisniewskidamian bestpossibleestimatesofweaksolutionsofboundaryvalueproblemsforquasilinearellipticequationsinunboundeddomains |