Open Access
Issue
ESAIM: COCV
Volume 27, 2021
Article Number 52
Number of page(s) 24
DOI https://doi.org/10.1051/cocv/2021048
Published online 04 June 2021
  1. J. Alibert and G. Bouchitté, Non-uniform integrability and generalized Young measures. J. Convex Anal. 4 (1997) 129–147. [Google Scholar]
  2. W. Arveson, An Invitation to C*-Algebras. Graduate Texts in Mathematics. Springer-Verlag, New York (1976). [Google Scholar]
  3. J.P. Aubin and H. Frankowska, Set-Valued Analysis Modern Birkhäuser Classics, Birkhäuser, Boston (1990). [Google Scholar]
  4. J.M. Ball, A version of the fundamental theorem for Young measures, in PDEs and Continuum Models of Phase Transitions. M. Rascle, D. Serre, and M. Slemrod. Springer, Berlin Heidelberg (1989) 207–215. [Google Scholar]
  5. S. Banach and S. Mazur, Zur theorie der linearen dimension. Stud. Math. 4 (1933) 100–112. [Google Scholar]
  6. A.C. Barroso, G. Bouchitté, G. Buttazzo and I. Fonseca, Relaxation of bulk and interfacial energies. Arch. Ratl. Mech. Anal. 135 (1996) 107–173. [Google Scholar]
  7. V.I. Bogachev, Measure Theory, vol. II. Springer, Berlin, Heidelberg (2007). [Google Scholar]
  8. G. Bouchitté, I. Fonseca and L. Mascarenhas, A global method for relaxation. Arch. Ratl. Mech. Anal. 145 (1998) 51–98. [Google Scholar]
  9. G. Carita and E. Zappale, Relaxation for an optimal design problem with linear growth and perimeter penalization. Proc. Roy. Soc. Edinburgh 145 (2015) 223–268. [Google Scholar]
  10. B. Dacorogna, Weak continuity and weak lower semicontinuity of nonlinear functionals. Uspekhi Mat. Nauk 44 (1989) 35–98. [Google Scholar]
  11. R.J. DiPerna and A.J. Majda, Oscillations and concentrations in weak solutions of the incompressible fluid equations. Commun. Math. Phys. 108 (1987) 667–689. [Google Scholar]
  12. R. Engelking, General topology. Vol. 6 of Sigma Series in Pure Mathematics. Heldermann Verlag Berlin (1989). [Google Scholar]
  13. I. Fonseca and S. Müller, Relaxation of quasiconvex functional in BV(ω, ℝp) for integrands f(x, u, ∇u). Arch. Ratl. Mech. Anal. 123 (1993) 1–49. [Google Scholar]
  14. I.M. Gelfand, Normierte Ringe. Rec. Math. [Mat. Sbornik] N.S. 9 (1941) 3–24. [Google Scholar]
  15. I.M. Gelfand and M.A. Naimark, On the imbedding of normed rings into the ring of operators on a Hilbert space. Math. Sbornik 12 (1943) 197–217. [Google Scholar]
  16. N. Hüngerbuhler, A refinement of Ball’s theorem on Young measures. New York J. Math. 3 (1997) 48–53. [Google Scholar]
  17. A. Kałamajska, On one generalization of a theorem by DiPerna and Majda. Math. Methods Appl. Sci. 29 (2006) 1307–1325. [Google Scholar]
  18. A. Kałamajska, On Young measures controlling discontinuous functions. J. Convex Anal. 13 (2006) 177–192. [Google Scholar]
  19. A. Kałamajska, Oscillation and concentration effects described by Young measures which control discontinuous functions. Topolog. Methods Nonlinear Anal. 31 (2008) 111–138. [Google Scholar]
  20. A. Kałamajska, On one method of improving weakly converging sequence of gradients. Asymptotic Anal. 62 (2009) 107–123. [Google Scholar]
  21. A. Kałamajska, On one extension of Decomposition Lemma dealing with weakly converging sequences of gradients with application to nonconvex variational problems. J. Convex Anal. 20 (2013) 545–571. [Google Scholar]
  22. A. Kałamajska and M. Kružik, Oscillations and concentrations in sequences of gradients. ESAIM: COCV 14 (2008) 71–104. [CrossRef] [EDP Sciences] [Google Scholar]
  23. J. Keesling, The one-dimensional Čech cohomology of the Higson compactification and its corona. Topol. Proc. 19 (1994) 129–148. [Google Scholar]
  24. P.A. Kozarzewski, On existence of the support of a Borel measure. Demonstratio Math. 76 (2018) 76–84. [Google Scholar]
  25. S. Krömer and M. Kruzik, Oscillations and concentrations up to the boundary. J. Convex Anal. 20 (2013) 723–752. [Google Scholar]
  26. Y.G. Reshetnyak, Weak convergence of completely additive vector functions on a set. Syberian Math. J. 9 (1968) 1039–1045. [Google Scholar]

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