Registro:

Referencias:

• Barrett, J.W., Liu, W.B., Finite element approximation of the p-Laplacian (1993) Math. Comp., 61, pp. 523-537
• Belenki, L., Diening, L., Kreuzer, C., Optimality of an adaptive finite element method for the p-Laplacian equation (2012) IMA J. Numer. Anal., 32, pp. 484-510
• Bollt, E.M., Chartrand, R., Esedoglu, S., Schultz, P., Vixie, K.R., Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion (2009) Adv. Comput. Math., 31, pp. 61-85
• Breit, D., Diening, L., Schwarzacher, S., (2013) Finite Element Approximation of the P()-Laplacian, , arXiv preprint arXiv: 1311.5121
• Bystrom, J., Sharp constants for some inequalities connected to the p-Laplace operator (2005) JIPAM. J. Inequal. Pure Appl. Math., 6, p. 8. , Article 56 pp. (electronic
• Carelli, E., Haehnle, J., Prohl, A., Convergence analysis for incompressible generalized Newtonian fluid flows with nonstandard anisotropic growth conditions (2010) SIAM J. Numer. Anal., 48, pp. 164-190
• Chen, Y., Levine, S., Rao, M., Variable exponent, linear growth functionals in image restoration (2006) SIAM J. Appl. Math., 66, pp. 1383-1406. , electronic
• Ciarlet, P., (1978) The Finite Element Method for Elliptic Problems, 68. , Amsterdam: North-Holland
• Del Pezzo, L.M., Lombardi, A.L., Martínez, S., Interior penalty discontinuous Galerkin FEM for the p(x)-Laplacian (2012) SIAM J. Numer. Anal., 50, pp. 2497-2521
• Del Pezzo, L.M., Martínez, S., H2 regularity for the p(x)-Laplacian in two-dimensional convex domains (2014) J. Math. Anal. Appl., 410, pp. 939-952
• Diening, L., (2002) Theoretical and Numerical Results for Electrorheological Fluids., p. 7. , Ph.D Thesis, Institut fur Angewandte Mathematik, Mathematische Fakultat
• Diening, L., Maximal function on generalized Lebesgue spaces Lp() (2004) Math. Inequal. Appl., 7, pp. 245-253
• Diening, L., Harjulehto, P., Hasto, P., Røuzicka, M., (2011) Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics, , vol. 2017. Heidelberg: Springer
• Diening, L., Hasto, P., Nekvinda, A., Open problems in variable exponent Lebesgue and Sobolev spaces (2004) FSDONA04 Proceedings, pp. 38-58. , P. Drabek & J. Rakosnik ed.). Milovy, Czech Republic
• Ebmeyer, C., Liu, W.B., Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of p-Laplacian problems (2005) Numer. Math., 100, pp. 233-258
• Glowinski, R., Numerical methods for nonlinear variational problems (2008) Sci. Comput., , Berlin: Springer. Reprint of the 1984 original
• Kovacik, O., Rakosník, J., On spaces Lp(x) and Wk, p(x) (1991) Czechoslovak Math. J., 41, pp. 592-618
• Liu, W.B., Barrett, J.W., A further remark on the regularity of the solutions of the p-Laplacian and its applications to their finite element approximation (1993) Nonlinear Anal., 21, pp. 379-387
• Liu, W.B., Barrett, J.W., Higher-order regularity for the solutions of some degenerate quasilinear elliptic equations in the plane (1993) SIAM J. Math. Anal., 24, pp. 1522-1536
• Liu, W.B., Barrett, J.W., A remark on the regularity of the solutions of the p-Laplacian and its application to their finite element approximation (1993) J. Math. Anal. Appl., 178, pp. 470-487
• Pick, L., Kufner, A., John, O., Fucík, S., (2013) Function Spaces., 1. , extended ed., De Gruyter Series in Nonlinear Analysis and Applications, vol. 14. Berlin: Walter de Gruyter
• Prohl, A., Isabelle, W., (2007) Convergence of An Implicit Finite Element Discretization for A Class of Parabolic Equations with Nonstandard Anisotropic Growth Conditions., , http://na.uni-Duebingen.de/preprints.shtml
• Røuzicka, M., (2000) Electrorheological Fluids Modeling and Mathematical Theory, , Lecture Notes in Mathematics vol. 1748. Berlin: Springer
• Samko, S., (2000) Denseness of C8 0 (RN) in the Generalized Sobolev Spaces WM, P(X)(RN). Direct and Inverse Problems of Mathematical Physics (Newark, de 1997), pp. 333-342. , International Society for Analysis, Applications and Computation vol. 5. Dordrecht: Kluwer Acad

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------