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1/2-Laplacian problem with logarithmic and exponential nonlinearities |
| Tartalom: | https://real.mtak.hu/185168/ |
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| Archívum: | REAL |
| Gyűjtemény: |
Status = Published
Subject = Q Science / természettudomány: QA Mathematics / matematika Type = Article |
| Cím: |
1/2-Laplacian problem with logarithmic and exponential nonlinearities
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| Létrehozó: |
Chen, Zigao
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| Kiadó: |
Szegedi Tudományegyetem
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| Dátum: |
2023
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| Téma: |
QA Mathematics / matematika
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| Tartalmi leírás: |
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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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Chen, Zigao (2023) 1/2-Laplacian problem with logarithmic and exponential nonlinearities. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (37). pp. 1-19. ISSN 1417-3875
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| Kapcsolat: |
MTMT:34512680 DOI:10.14232/ejqtde.2023.1.37
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| Létrehozó: |
cc_by
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