Simple proofs of some results of Reshetnyak

  title={Simple proofs of some results of Reshetnyak},
  author={Daniel Spector},
In this paper we give simpler proofs of the classical continuity and lower semicontinuity theorems of Reshetnyak. 1. Main result In 1968, Reshetnyak [20] proved two important results concerning the continuity and lower semicontinuity of functionals with respect to weak-star convergence of measures. These theorems are used in a variety of areas in the calculus of variations, ranging from problems in relaxation ([1],[3],[4],[6]) and estimates in Γ-convergence ([17],[18],[19]) to anisotropic… CONTINUE READING


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