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 |
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| 005 | 20231116150731.0 | ||
| 008 | 231116s2023 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2023.1.37 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Chen Zigao | |
| 245 | 1 | 0 | |a 1/2-Laplacian problem with logarithmic and exponential nonlinearities |h [elektronikus dokumentum] / |c Chen Zigao |
| 260 | |c 2023 | ||
| 300 | |a 19 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Laplace-egyenlet, Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/82287/1/ejqtde_2023_037.pdf |z Dokumentum-elérés |