On the principal eigenvalues of the degenerate elliptic systems
We study some qualitative properties for the set of principal eigenvalues of a degenerate elliptic system such as strict monotonicity with respect to the domain, local isolation and monotonicity and continuity of the principal eigenvalue with respect to the weight functions. Finally, explicit lower...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.40 |
| Online Access: | http://acta.bibl.u-szeged.hu/70153 |
| Tartalmi kivonat: | We study some qualitative properties for the set of principal eigenvalues of a degenerate elliptic system such as strict monotonicity with respect to the domain, local isolation and monotonicity and continuity of the principal eigenvalue with respect to the weight functions. Finally, explicit lower bounds for principal eigenvalues in terms of the measure of domain are also proved. |
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| ISSN: | 1417-3875 |