期刊论文详细信息
| Abstract and Applied Analysis | |
| Existence of Solutions for the p(x)-Laplacian Problem with the Critical Sobolev-Hardy Exponent | |
| Research Article | |
| Li Wang1  Fu Yongqiang2  Yu Mei1  | |
| [1] Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China, npu.edu;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China, hit.edu.cn | |
| Others : 1268628 DOI : 10.1155/2012/894925 |
|
| received in 2012-02-18, accepted in 2012-07-11, 发布年份 2012 | |
PDF
|
|
【 授权许可】
CC BY
Copyright © 2012 Yu Mei et al. 2012
【 预 览 】
| Files | Size | Format | View |
|---|---|---|---|
| 894925.pdf | 566KB |
【 参考文献 】
- [1]D. Kang, S. Peng. (2004). Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents. Nonlinear Analysis.56(8):1151-1164. DOI: 10.1016/j.na.2003.11.008.
- [2]D. Kang, S. Peng. (2004). Positive solutions for singular critical elliptic problems. Applied Mathematics Letters.17(4):411-416. DOI: 10.1016/j.na.2003.11.008.
- [3]D. Kang, S. Peng. (2005). Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential. Applied Mathematics Letters.18(10):1094-1100. DOI: 10.1016/j.na.2003.11.008.
- [4]D. Kang. (2008). Solutions of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy-type term. Journal of Mathematical Analysis and Applications.341(2):764-782. DOI: 10.1016/j.na.2003.11.008.
- [5]J. Chabrowski, Y. Fu. (2005). Existence of solutions for -Laplacian problems on a bounded domain. Journal of Mathematical Analysis and Applications.306(2):604-618. DOI: 10.1016/j.na.2003.11.008.
- [6]X. Fan, Q. Zhang, D. Zhao. (2005). Eigenvalues of -Laplacian Dirichlet problem. Journal of Mathematical Analysis and Applications.302(2):306-317. DOI: 10.1016/j.na.2003.11.008.
- [7]M. Galewski. (2005). A new variational method for the -Laplacian equation. Bulletin of the Australian Mathematical Society.72(1):53-65. DOI: 10.1016/j.na.2003.11.008.
- [8]G. B. Li, G. Zhang. (2009). Multiple solutions for the -Laplacian problem with critical exponent. Acta Mathematica Scientia B.29(4):903-918. DOI: 10.1016/j.na.2003.11.008.
- [9]E. Acerbi, G. Mingione. (2002). Regularity results for stationary electro-rheological fluids. Archive for Rational Mechanics and Analysis.164(3):213-259. DOI: 10.1016/j.na.2003.11.008.
- [10]E. Acerbi, G. Mingione, G. A. Seregin. (2004). Regularity results for parabolic systems related to a class of non-Newtonian fluids. Annales de l'Institut Henri Poincaré C.21(1):25-60. DOI: 10.1016/j.na.2003.11.008.
- [11]M. Mihăilescu, V. Rădulescu. (2006). A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids. Proceedings of The Royal Society of London A.462(2073):2625-2641. DOI: 10.1016/j.na.2003.11.008.
- [12]M. Ruzicka. (2000). Electrorheological Fluids: Modeling and Mathematical Theory. DOI: 10.1016/j.na.2003.11.008.
- [13]Y. Q. Fu. (2009). The principle of concentration compactness in spaces and its application. Nonlinear Analysis.71(5-6):1876-1892. DOI: 10.1016/j.na.2003.11.008.
- [14]P. L. Lions. (1985). The concentration-compactness principle in the calculus of variations. The limit case. II. Revista Matemática Iberoamericana.1(2):45-121. DOI: 10.1016/j.na.2003.11.008.
- [15]L. Diening. (2004). Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces and. Mathematische Nachrichten.268:31-43. DOI: 10.1016/j.na.2003.11.008.
- [16]D. Edmunds, J. Lang, A. Nekvinda. (1999). On norms. Proceedings of the Royal Society of London A.455(1981):219-225. DOI: 10.1016/j.na.2003.11.008.
- [17]D. Edmunds, J. Rákosník. (2000). Sobolev embeddings with variable exponent. Studia Mathematica.143(3):267-293. DOI: 10.1016/j.na.2003.11.008.
- [18]X. Fan. (2005). Solutions for -Laplacian Dirichlet problems with singular coefficients. Journal of Mathematical Analysis and Applications.312(2):464-477. DOI: 10.1016/j.na.2003.11.008.
- [19]O. Kováčik, J. Rákosník. (1991). On spaces and. Czechoslovak Mathematical Journal.41(4):592-618. DOI: 10.1016/j.na.2003.11.008.
- [20]W. Krawcewicz, W. Marzantowicz. (1990). Some remarks on the Lusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action. The Rocky Mountain Journal of Mathematics.20(4):1041-1049. DOI: 10.1016/j.na.2003.11.008.
- [21]M. Willem. (1996). Minimax Theorems. DOI: 10.1016/j.na.2003.11.008.
PDF