Quasilinear Dirichlet problems with competing operators and convection
The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable. We develop an approximation procedure permitting to...
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De Gruyter
2020-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2020-0112 |
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doaj-74d63b9ab23d4392b121b202d67402ec2021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-12-011811510151710.1515/math-2020-0112math-2020-0112Quasilinear Dirichlet problems with competing operators and convectionMotreanu Dumitru0Department of Mathematics, University of Perpignan, 66860 Perpignan, FranceThe paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable. We develop an approximation procedure permitting to establish the existence of solutions in a generalized sense. If in place of competing (p,q)-Laplacian we consider the usual (p,q)-Laplacian, our results ensure the existence of weak solutions.https://doi.org/10.1515/math-2020-0112quasilinear dirichlet problemscompeting (p,q)-laplacianconvection termgeneralized solutionapproximation35h3035j9235d30 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Motreanu Dumitru |
| spellingShingle |
Motreanu Dumitru Quasilinear Dirichlet problems with competing operators and convection Open Mathematics quasilinear dirichlet problems competing (p,q)-laplacian convection term generalized solution approximation 35h30 35j92 35d30 |
| author_facet |
Motreanu Dumitru |
| author_sort |
Motreanu Dumitru |
| title |
Quasilinear Dirichlet problems with competing operators and convection |
| title_short |
Quasilinear Dirichlet problems with competing operators and convection |
| title_full |
Quasilinear Dirichlet problems with competing operators and convection |
| title_fullStr |
Quasilinear Dirichlet problems with competing operators and convection |
| title_full_unstemmed |
Quasilinear Dirichlet problems with competing operators and convection |
| title_sort |
quasilinear dirichlet problems with competing operators and convection |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2020-12-01 |
| description |
The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable. We develop an approximation procedure permitting to establish the existence of solutions in a generalized sense. If in place of competing (p,q)-Laplacian we consider the usual (p,q)-Laplacian, our results ensure the existence of weak solutions. |
| topic |
quasilinear dirichlet problems competing (p,q)-laplacian convection term generalized solution approximation 35h30 35j92 35d30 |
| url |
https://doi.org/10.1515/math-2020-0112 |
| work_keys_str_mv |
AT motreanudumitru quasilineardirichletproblemswithcompetingoperatorsandconvection |
| _version_ |
1717777075842056192 |