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1/2-Laplacian problem with logarithmic and exponential nonlinearities

  • Metaadatok
Tartalom: https://real.mtak.hu/185168/
Archívum: REAL
Gyűjtemény: Status = Published
Subject = Q Science / természettudomány: QA Mathematics / matematika
Type = Article
Cím:
1/2-Laplacian problem with logarithmic and exponential nonlinearities
Létrehozó:
Chen, Zigao
Kiadó:
Szegedi Tudományegyetem
Dátum:
2023
Téma:
QA Mathematics / matematika
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.
Nyelv:
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
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
Kapcsolat:
MTMT:34512680 DOI:10.14232/ejqtde.2023.1.37
Létrehozó:
cc_by