Artículo
Bonder, J.F.; Silva, A. "Concentration-compactness principle for variable exponent spaces and applications" (2010) Electronic Journal of Differential Equations. 2010
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Abstract:
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth. © 2010 Texas State University - San Marcos.
Registro:
| Documento: | Artículo |
| Título: | Concentration-compactness principle for variable exponent spaces and applications |
| Autor: | Bonder, J.F.; Silva, A. |
| Filiación: | Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina |
| Palabras clave: | Concentration-compactness principle; Variable exponent spaces |
| Año: | 2010 |
| Volumen: | 2010 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2010_n_p_Bonder |
Referencias:
- Alves, C.O., Existence of positive solutions for a problem with lack of compactness involving the p-Laplacian (2002) Nonlinear Anal, 51 (7), pp. 1187-1206
- Alves, C.O., Ding, Y., Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems (2007) Topol. Methods Nonlinear Anal, 29 (2), pp. 265-278
- Bahri, A., Pierre-Louis, L., On the existence of a positive solution of semilinear elliptic equations in unbounded domains (1997) Ann. Inst. H. Poincaré Anal. Non Linéaire, 14 (3), pp. 365-413
- Bonder, J.F., Sandra, M., Rossi, J.D., Existence results for gradient elliptic systems with nonlinear boundary conditions (2007) NoDEA Nonlinear Differential Equations Appl, 14 (1-2), pp. 153-179
- Cabada, A., Pouso, R.L., Existence theory for functional p-Laplacian equations with variable exponents (2003) Nonlinear Anal, 52 (2), pp. 557-572
- Teodora-Liliana, D., Nonlinear eigenvalue problems in Sobolev spaces with variable exponent (2006) J. Funct. Spaces Appl, 4 (3), pp. 225-242
- Pavel, D., Huang, Y.X., Multiplicity of positive solutions for some quasilinear elliptic equation in RN with critical Sobolev exponent (1997) J. Differential Equations, 140 (1), pp. 106-132
- Fan, X.-L., Zhang, Q.-H., Existence of solutions for p(x)-Laplacian Dirichlet problem (2003) Nonlinear Anal, 52 (8), pp. 1843-1852
- Fan, X., Zhao, D., On the spaces Lp(x)(Ω) and Wm,p(x)(Ω) (2001) J. Math. Anal. Appl, 263 (2), pp. 424-446
- Yongqiang, F., The principle of concentration compactness in Lp(x)(Ω) spaces and its application (2009) Nonlinear Anal, 71 (5-6), pp. 1876-1892
- Azorero J., G., Peral, A.I., Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term (1991) Trans. Amer. Math. Soc, 323 (2), pp. 877-895
- Lions, P.-L., The concentration-compactness principle in the calculus of variations. The limit case (1985) I. Rev. Mat. Iberoamericana, 1 (1), pp. 145-201
- Mihai, M., Elliptic problems in variable exponent spaces (2006) Bull. Austral. Math. Soc, 74 (2), pp. 197-206
- Mihai, M., Vicenţiu, R., On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent (2007) Proc. Amer. Math. Soc, 135 (9), pp. 2929-2937. , (electronic)
Citas:
---------- APA ----------
Bonder, J.F. & Silva, A. (2010) . Concentration-compactness principle for variable exponent spaces and applications. Electronic Journal of Differential Equations, 2010.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2010_n_p_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Silva, A. "Concentration-compactness principle for variable exponent spaces and applications" . Electronic Journal of Differential Equations 2010 (2010).Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2010_n_p_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Silva, A. "Concentration-compactness principle for variable exponent spaces and applications" . Electronic Journal of Differential Equations, vol. 2010, 2010.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2010_n_p_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Silva, A. Concentration-compactness principle for variable exponent spaces and applications. Electron. J. Differ. Equ. 2010;2010.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2010_n_p_Bonder [ ]
