Weighted Sobolev embedding with unbounded and decaying radial potentials

Su, Jiabao;Wang, Zhi-Qiang;Willem, Michel
(2007) Journal of Differential Equations — Vol. 238, n° 1, p. 201-219 (2007)

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Authors
  • Su, Jiabao
    Author
  • Wang, Zhi-Qiang
    Author
  • Willem, MichelUCLouvain
    Author
Abstract
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.
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Citations

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)