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On inhomogeneous exterior Robin problems with critical nonlinearities.

Authors :
Borikhanov, Meiirkhan B.
Torebek, Berikbol T.
Source :
Journal of Differential Equations. Jan2024, Vol. 380, p1-23. 23p.
Publication Year :
2024

Abstract

The paper studies the large-time behavior of solutions to the Robin problem for PDEs with critical nonlinearities. For the considered problems, nonexistence results are obtained, which complements the interesting recent results by Ikeda et al. (2020) [7] , where critical cases were left open. Moreover, our results provide partially answers to some other open questions previously posed by Zhang (2001) [21] and Jleli and Samet (2019) [13]. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*OPEN-ended questions

Details

Language :
English
ISSN :
00220396
Volume :
380
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
173888085
Full Text :
https://doi.org/10.1016/j.jde.2023.10.020