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Weighted Sobolev embedding with unbounded and decaying radial potentials |
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| Authors: | Jiabao Su Michel Willem |
| Affiliation: | a School of Mathematical Sciences and Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100037, People's Republic of China b Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA c School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou 350007, People's Republic of China d Institut de Mathématique, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium |
| Abstract: | We prove embedding results of weighted W1,p(RN) 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. |
| Keywords: | 35J05 35J20 35J60 |
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