Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$, only on a primitive of $f$.
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-11-01
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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=444 |
| _version_ | 1797830718641930240 |
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| author | Aboubacar Marcos |
| author_facet | Aboubacar Marcos |
| author_sort | Aboubacar Marcos |
| collection | DOAJ |
| description | Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$, only on a primitive of $f$. |
| first_indexed | 2024-04-09T13:41:40Z |
| format | Article |
| id | doaj.art-760001a108764465a9805e825299bd43 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:40Z |
| publishDate | 2009-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-760001a108764465a9805e825299bd432023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-11-0120095712910.14232/ejqtde.2009.1.57444Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potentialAboubacar Marcos0Institut de Mathématiques et de Sciences Physiques, Porto Novo, BeninProblem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$, only on a primitive of $f$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=444 |
| spellingShingle | Aboubacar Marcos Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential Electronic Journal of Qualitative Theory of Differential Equations |
| title | Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential |
| title_full | Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential |
| title_fullStr | Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential |
| title_full_unstemmed | Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential |
| title_short | Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential |
| title_sort | solvability of a one dimensional quasilinear problem under nonresonance conditions on the potential |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=444 |
| work_keys_str_mv | AT aboubacarmarcos solvabilityofaonedimensionalquasilinearproblemundernonresonanceconditionsonthepotential |