Vector-valued local minimizers of nonconvex variational problems

Rocky Mountain Journal of Mathematics

Volumn 21, Issue 2, 1991, Pages 799-807

  Sternberg, Peter ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000482727     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181072968     Document Type: Article

References (9)

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4. E. Giusti, Minimal surfaces and functions of bounded variation, Birkhauser, Boston, 1984.
5. M.E. Gurtin, On a theory of phase transitions with interfacial energy, Arch. Rational Mech. Anal. 87 (1987).
6. M.E. Gurtin, Some results and conjectures in the gradient theory of phase transitions, IMA, University of Minn., preprint No. 156, 1985.
7. R.V. Kohn and P. Sternberg, Local minimizers and singular perturbations, Proc. Roy. Soc. of Edinburgh Sect. A 111 (1989).
8. J.J. Mahoney and J. Norbury, Asymptotic location of nodal lines using geodesic theory, J. Austral. Math. Soc. Ser. B 27 (1986).
9. P. Sternberg, The effect of a singular perturbation on nonconvex variational problems, Arch. Rational Mech. Anal. 101 (1988).