Existence and non existence of solutions to a variational problem on a square

Houston Journal of Mathematics

Volumn 24, Issue 2, 1998, Pages 345-375

  Celada, P ^a   Cellina, A ^b  

^a UNIVERSITY OF TRIESTE   (Italy)

^b SISSA   (Italy)

Author keywords

Non convex minimum problems

Indexed keywords

EID: 0032443214     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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4. Goodman, J. and Kohn, R. V. and Reyna, L., Numerical study of a relaxed variational problem from optimal design, Comput. Methods Appl. Mech. Engrg., 57 (1986), pp. 107-127.
5. Kawhol, B. and Stara, J. and Wittum, G., Analysis and numerical studies of a problem of shape design, Arch. Rational Mech. Anal., 114 (1991), pp. 349-363.
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7. Murat, F. and Tartar, L., Calcul des variations et homogenization, Les methodes de l'homogenization: thèorie et applications en physique, D. Bergman et al., Collect. Dir. Études Rech. Élec. France, 57, (1985).
8. Sakagukhi S., Concavity properties of solutions to some degenerate quasilinear elliptic problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 14 1987, pp. 403-421.