An elliptic system with logarithmic nonlinearity
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involvin...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-11-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2017-0200 |
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doaj-a76e9a4f820b42d2a25dba33df1834642021-09-06T19:39:55ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2017-11-018192894510.1515/anona-2017-0200anona-2017-0200An elliptic system with logarithmic nonlinearityAlves Claudianor0Moussaoui Abdelkrim1Tavares Leandro2Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Av. Aprigio Veloso, 882, CEP 58429-900, Campina Grande/PB, BrazilBiology Department, A. Mira Bejaia University, Targa Ouzemour, 06000Bejaia, AlgeriaUniversidade Federal do Cariri, Av. Ten. Raimundo Rocha, CEP 63048-080, Juazeiro do Norte/CE, BrazilIn the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving singular terms.https://doi.org/10.1515/anona-2017-0200bifurcationsingular systemsub-supersolution35j75 35j48 35j92 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alves Claudianor Moussaoui Abdelkrim Tavares Leandro |
| spellingShingle |
Alves Claudianor Moussaoui Abdelkrim Tavares Leandro An elliptic system with logarithmic nonlinearity Advances in Nonlinear Analysis bifurcation singular system sub-supersolution 35j75 35j48 35j92 |
| author_facet |
Alves Claudianor Moussaoui Abdelkrim Tavares Leandro |
| author_sort |
Alves Claudianor |
| title |
An elliptic system with logarithmic nonlinearity |
| title_short |
An elliptic system with logarithmic nonlinearity |
| title_full |
An elliptic system with logarithmic nonlinearity |
| title_fullStr |
An elliptic system with logarithmic nonlinearity |
| title_full_unstemmed |
An elliptic system with logarithmic nonlinearity |
| title_sort |
elliptic system with logarithmic nonlinearity |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2017-11-01 |
| description |
In the present paper, we study the existence of solutions for some classes of
singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}}
Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving
singular terms. |
| topic |
bifurcation singular system sub-supersolution 35j75 35j48 35j92 |
| url |
https://doi.org/10.1515/anona-2017-0200 |
| work_keys_str_mv |
AT alvesclaudianor anellipticsystemwithlogarithmicnonlinearity AT moussaouiabdelkrim anellipticsystemwithlogarithmicnonlinearity AT tavaresleandro anellipticsystemwithlogarithmicnonlinearity AT alvesclaudianor ellipticsystemwithlogarithmicnonlinearity AT moussaouiabdelkrim ellipticsystemwithlogarithmicnonlinearity AT tavaresleandro ellipticsystemwithlogarithmicnonlinearity |
| _version_ |
1717769815478763520 |