Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves λ(α) as α → ∞ and α → 0, where α := ∥uλ∥∞ and uλ is the solution associated with λ. We show that the second term of λ(α)...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Nemlokális elliptikus egyenlet, Differenciálegyenlet - parciális, Bifurkációelmélet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.57 |
| Online Access: | http://acta.bibl.u-szeged.hu/88800 |
| Tartalmi kivonat: | We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves λ(α) as α → ∞ and α → 0, where α := ∥uλ∥∞ and uλ is the solution associated with λ. We show that the second term of λ(α) is oscillatory as α → ∞. |
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| Terjedelem/Fizikai jellemzők: | 17 |
| ISSN: | 1417-3875 |