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Referencias:

• Positive solution for Neumann problem with critical nonlinearity on boundary. Commun. Partial Diff (1991) Equ, 16 (11), pp. 1733-1760
• Aubin, T., Problèmes isopérimétriques et espaces de Sobolev (1975) C. R. Acad. Sci. Paris Sér. A-B, 280 (5), pp. A279-A281
• Chen, Y., Levine, S., Rao, M., Variable exponent, linear growth functionals in image restoration. SIAM (2006) J. Appl. Math. 66(4), 1383-1406 (electronic)
• (2011) Lebesgue and Sobolev spaces with variable exponents, volume 2017 of Lecture Notes in Mathematics, , Springer, Heidelberg:
• Escobar, J.F., Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary (1992) Ann. of Math. (2), 136 (1), pp. 1-50
• Fan, X., Zhao, D., On the spaces (Formula presented.) (2001) J. Math. Anal. Appl, 263 (2), pp. 424-446
• Bonder, J.F., Rossi, J.D., On the existence of extremals for the Sobolev trace embedding theorem with critical exponent (2005) Bull. Lond. Math. Soc, 37 (1), pp. 119-125
• Bonder, J.F., Saintier, N., Estimates for the Sobolev trace constant with critical exponent and applications (2008) Ann. Mat. Pura Appl. (4), 187 (4), pp. 683-704
• Bonder, J.F., Saintier, N., Silva, A., Existence of solution to a critical equation with variable exponent (2012) Ann. Acad. Sci. Fenn. Math, 37, pp. 579-594
• Bonder, J.F., Saintier, N., Silva, A., On the Sobolev embedding theorem for variable exponent spaces in the critical range (2012) J. Diff. Equ, 253 (5), pp. 1604-1620
• Fernández Bonder, J., Saintier, N., Silva, A., (2013) Existence of solution to a critical trace equation with variable exponent. arXiv preprint, arXiv, 1301, p. 2962
• Bonder, J.F., Silva, A., Concentration-compactness principle for variable exponent spaces and applications (2010) Electron. J. Diff. Equ, 18, p. 141
• Yongqiang, F., The principle of concentration compactness in (Formula presented.) spaces and its application (2009) Nonlinear Anal, 71 (5-6), pp. 1876-1892
• Gray, A., (1990) Tubes. Advanced Book Program, , Addison-Wesley, Redwood City:
• Harjulehto, P., Hästö, P., Koskenoja, M., Varonen, S., The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values (2006) Potential Anal, 25 (3), pp. 205-222
• Kováčik, O., Rákosník, J., On spaces $$L^{p(x)}$$Lp(x) and $$W^{k, p(x)}$$Wk,p(x). Czechoslovak (1991) Math. J, 41 (4), pp. 592-618
• Lions, P.-L., Pacella, F., Tricarico, M., Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions. Indiana Univ (1988) Math. J, 37 (2), pp. 301-324
• Mizuta, Y., Ohno, T., Shimomura, T., Shioji, N., Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the (Formula presented.)-Laplacian and its critical exponent (2010) Ann. Acad. Sci. Fenn. Math, 35 (1), pp. 115-130
• Nazaret, B., Best constant in Sobolev trace inequalities on the half-space (2006) Nonlinear Anal, 65 (10), pp. 1977-1985
• Nazarov, A.I., Reznikov, A.B., On the existence of an extremal function in critical Sobolev trace embedding theorem (2010) J. Funct. Anal, 258 (11), pp. 3906-3921
• (2000) Electrorheological fluids: modeling and mathematical theory, vol. 1748 of Lecture Notes in Mathematics, , Springer, Berlin:
• Saintier, N., Estimates of the best sobolev constant of the embedding of (Formula presented.) and related shape optimization problems (2008) Nonlinear Anal, 69 (8), pp. 2479-2491

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