On inhomogeneous exterior Robin problems with critical nonlinearities
Analysis of PDEs
2023-10-25 v2
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. [J. Differential Equations, 269 (2020), no. 1, 563-594], where critical cases were left open. Moreover, our results provide partially answers to some other open questions previously posed by Zhang [Proc. Roy. Soc. Edinburgh Sect. A, 131 (2001), no. 2, 451-475] and Jleli-Samet [Nonlinear Anal., 178 (2019), 348-365].
Keywords
Cite
@article{arxiv.2303.14563,
title = {On inhomogeneous exterior Robin problems with critical nonlinearities},
author = {Meiirkhan B. Borikhanov and Berikbol T. Torebek},
journal= {arXiv preprint arXiv:2303.14563},
year = {2023}
}
Comments
16 pages