1/2-Laplacian problem with logarithmic and exponential nonlinearities
In this paper, based on a suitable fractional Trudinger-–Moser inequality, we establish sufficient conditions for the existence result of least energy sign-changing solution for a class of one-dimensional nonlocal equations involving logarithmic and exponential nonlinearities. By using a main tool o...
Elmentve itt :
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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: | Laplace-egyenlet, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2023.1.37 |
| Online Access: | http://acta.bibl.u-szeged.hu/82287 |
| Tartalmi kivonat: | In this paper, based on a suitable fractional Trudinger-–Moser inequality, we establish sufficient conditions for the existence result of least energy sign-changing solution for a class of one-dimensional nonlocal equations involving logarithmic and exponential nonlinearities. By using a main tool of constrained minimization in Nehari manifold and a quantitative deformation lemma, we consider both subcritical and critical exponential growths. This work can be regarded as the complement for some results of the literature. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |