Abstract
We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of quasilinear elliptic problems involving exponential critical growth.
Citation
Francisco S. B. Albuquerque. Sami Aouaoui. "A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space." Topol. Methods Nonlinear Anal. 54 (1) 109 - 130, 2019. https://doi.org/10.12775/TMNA.2019.027