Variational integrals on mappings of bounded variation and their lower semicontinuity

Author:

Aviles Patricio,Giga Yoshikazu

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference36 articles.

1. Ambrosio, L., Mortola, S. & Tortorelli, V. M., Functionals with linear growth defined on vector valued BV functions, preprint.

2. Aviles, P. & Giga, Y., A mathematical problem related to the physical theory of liquid crystal configurations. Proceedings of the Centre for Mathematical Analysis, Australian National University (eds. J. Hutchinson & L. Simon) 12 (1987), 1?16.

3. Aviles, P. & Giga, Y., Singularities and rank one properties of Hessian measures. Duke Math. J. 58 (1989), 441?467.

4. Aviles, P. & Giga, Y., Variational integrals on mappings of bounded variation. Recent Topics in Nonlinear P.D.E. V (eds. K. Masuda & M. Mimura), North Holland, to appear.

5. Aviles, P. & Giga, Y., Minimal currents and relaxation of variational integrals on mappings of bounded variation. Proc. Japan Acad. Ser. A. 66 (1990), 68?71.

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