1/2-Laplacian problem with logarithmic and exponential nonlinearities

Chen Zigao: 1/2-Laplacian problem with logarithmic and exponential nonlinearities. (2023)

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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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2023
Number: 37
ISSN: 1417-3875
Number of Pages: 19
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2023.1.37
Uncontrolled Keywords: Laplace-egyenlet, Differenciálegyenlet
Additional Information: Bibliogr.: p. 17-19. ; összefoglalás angol nyelven
Date Deposited: 2023. Nov. 16. 15:07
Last Modified: 2023. Nov. 16. 15:07
URI: http://acta.bibl.u-szeged.hu/id/eprint/82287

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