Strongly nonlinear problem of infinite order with $L^1$ data
In this paper, we prove the existence of solutions for the strongly nonlinear equation of the type $$ Au+g(x,u)=f $$ where $A$ is an elliptic operator of infinite order from a functional space of Sobolev type to its dual. $g(x,s)$ is a lower order term satisfying essentially a sign condition on $s$...
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University of Szeged
2009-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=368 |
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doaj-35d06efbea9c4ceca713c514fd5b712c2021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-03-0120091511210.14232/ejqtde.2009.1.15368Strongly nonlinear problem of infinite order with $L^1$ dataA. Benkirane0M. Chrif1S. El Manouni2Department of Mathematics, University Sidi Mohamed Ben Abdellah, Fez, MoroccoDepartment of Mathematics, Faculty of Sciences of Fez, Fez, MoroccoAl-Imam University, Faculty of Sciences, Riyadh, KSAIn this paper, we prove the existence of solutions for the strongly nonlinear equation of the type $$ Au+g(x,u)=f $$ where $A$ is an elliptic operator of infinite order from a functional space of Sobolev type to its dual. $g(x,s)$ is a lower order term satisfying essentially a sign condition on $s$ and the second term $f$ belongs to $L^1(\Omega).$http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=368 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Benkirane M. Chrif S. El Manouni |
| spellingShingle |
A. Benkirane M. Chrif S. El Manouni Strongly nonlinear problem of infinite order with $L^1$ data Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
A. Benkirane M. Chrif S. El Manouni |
| author_sort |
A. Benkirane |
| title |
Strongly nonlinear problem of infinite order with $L^1$ data |
| title_short |
Strongly nonlinear problem of infinite order with $L^1$ data |
| title_full |
Strongly nonlinear problem of infinite order with $L^1$ data |
| title_fullStr |
Strongly nonlinear problem of infinite order with $L^1$ data |
| title_full_unstemmed |
Strongly nonlinear problem of infinite order with $L^1$ data |
| title_sort |
strongly nonlinear problem of infinite order with $l^1$ data |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-03-01 |
| description |
In this paper, we prove the existence of solutions for the strongly nonlinear equation of the type $$ Au+g(x,u)=f $$ where $A$ is an elliptic operator of infinite order from a functional space of Sobolev type to its dual. $g(x,s)$ is a lower order term satisfying essentially a sign condition on $s$ and the second term $f$ belongs to $L^1(\Omega).$ |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=368 |
| work_keys_str_mv |
AT abenkirane stronglynonlinearproblemofinfiniteorderwithl1data AT mchrif stronglynonlinearproblemofinfiniteorderwithl1data AT selmanouni stronglynonlinearproblemofinfiniteorderwithl1data |
| _version_ |
1721303803239596032 |