On the spectrum of a nontypical eigenvalue problem
We study a nontypical eigenvalue problem in a bounded domain from the Euclidian space $\mathbb{R}^2$ subject to the homogeneous Dirichlet boundary condition. We show that the spectrum of the problem contains two distinct intervals separated by an interval where there are no other eigenvalues.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2018-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7065 |
| _version_ | 1797830487828332544 |
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| author | Mihai Mihăilescu Denisa Stancu-Dumitru |
| author_facet | Mihai Mihăilescu Denisa Stancu-Dumitru |
| author_sort | Mihai Mihăilescu |
| collection | DOAJ |
| description | We study a nontypical eigenvalue problem in a bounded domain from the Euclidian space $\mathbb{R}^2$ subject to the homogeneous Dirichlet boundary condition. We show that the spectrum of the problem contains two distinct intervals separated by an interval where there are no other eigenvalues. |
| first_indexed | 2024-04-09T13:37:59Z |
| format | Article |
| id | doaj.art-12eb2fb3978043e59441669ac31e98f5 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:59Z |
| publishDate | 2018-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-12eb2fb3978043e59441669ac31e98f52023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-10-0120188711010.14232/ejqtde.2018.1.877065On the spectrum of a nontypical eigenvalue problemMihai Mihăilescu0Denisa Stancu-Dumitru1Department of Mathematics Faculty of Sciences, University of Craiova, RomaniaSimion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, RomaniaWe study a nontypical eigenvalue problem in a bounded domain from the Euclidian space $\mathbb{R}^2$ subject to the homogeneous Dirichlet boundary condition. We show that the spectrum of the problem contains two distinct intervals separated by an interval where there are no other eigenvalues.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7065nontypical eigenvalue problemspectrumtrudinger's inequalityorlicz spaces |
| spellingShingle | Mihai Mihăilescu Denisa Stancu-Dumitru On the spectrum of a nontypical eigenvalue problem Electronic Journal of Qualitative Theory of Differential Equations nontypical eigenvalue problem spectrum trudinger's inequality orlicz spaces |
| title | On the spectrum of a nontypical eigenvalue problem |
| title_full | On the spectrum of a nontypical eigenvalue problem |
| title_fullStr | On the spectrum of a nontypical eigenvalue problem |
| title_full_unstemmed | On the spectrum of a nontypical eigenvalue problem |
| title_short | On the spectrum of a nontypical eigenvalue problem |
| title_sort | on the spectrum of a nontypical eigenvalue problem |
| topic | nontypical eigenvalue problem spectrum trudinger's inequality orlicz spaces |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7065 |
| work_keys_str_mv | AT mihaimihailescu onthespectrumofanontypicaleigenvalueproblem AT denisastancudumitru onthespectrumofanontypicaleigenvalueproblem |