We prove embedding results of weighted W-1,W-p(R-N) spaces of radially symmetric functions. The results then are used to obtain ground and bound state solutions of quasilinear equations with unbounded or decaying radial potentials. (C) 2007 Elsevier Inc. All rights reserved.
Su, J., Wang, Z.-Q., & Willem, M. (2007). Weighted Sobolev embedding with unbounded and decaying radial potentials. Journal of Differential Equations, 238(1), 201-219. https://doi.org/10.1016/j.jde.2007.03.018 (Original work published 2007)