Weighted Sobolev embedding with unbounded and decaying radial potentials
By Jiabao Su, Zhi-Qiang Wang, Michel Willem. 2007
205 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e41904dc6d37315d7196f05c629f2c00c83250fa
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In Applied Mathematics
- Zhi-Qiang Wang
- D. Ruiz
- Jiabao Su
- M. Badiale
- Nikolaos S. Papageorgiou
- Xianhua Tang
- Vicentiu D. Rădulescu
- Louis Jeanjean
In Mathematical Physics
- D. Ruiz
- Zhi-Qiang Wang
- Jiabao Su
- M. Badiale
- Sergio Rolando
- Lorenzo Pisani
- Xianhua Tang
- Louis Jeanjean
Citations in the corpus
- Sobolev type embedding and quasilinear elliptic equations with radial potentials (2011, methodology): “The proof is similar to that in [32] we omit here.”
- Sum of weighted Lebesgue spaces and nonlinear elliptic equations (2011, background): “[10,12,22,25,26,37] and [1,3,21,31,37] respectively, and the references therein), showing essentially that the existence of solutions relies on suitable compatibility conditions between the power of u and the growth and decaying rates of V (x) (and possibly of the nonlinearity) at zero and infinity.”
- On the Schrödinger–Poisson–Slater System: Behavior of Minimizers, Radial and Nonradial Cases (2009, background): “By combining inequality (5) with the results of [29, 30], we obtain the following result, that shows the significance of the exponent 18/7 in the radial case.”