On inhomogeneous exterior Robin problems with critical nonlinearities
Borikhanov M.B. Torebek B.T.
25 January 2024Academic Press Inc.
Journal of Differential Equations
2024#3801 - 23 pp.
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].
Critical exponent , Exterior Robin problem , Global solution , Nonexistence
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Khoja Akhmet Yassawi International Kazakh–Turkish University, Sattarkhanov ave., 29, Turkistan, 161200, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
Khoja Akhmet Yassawi International Kazakh–Turkish University
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
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