A characterization of quasi-convex functions. (English) Zbl 0501.49008


49J45 Methods involving semicontinuity and convergence; relaxation
26B25 Convexity of real functions of several variables, generalizations
52A30 Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.)


Zbl 0142.387
Full Text: DOI


[1] Ciarlet PG (1978) The finite element method for elliptic problems. North-Holland, Amsterdam · Zbl 0383.65058
[2] Morrey CB (1966) Multiple integrals in the calculus of variations. Springer-Verlag, Heidelberg · Zbl 0142.38701
[3] Temam R (1973) Numerical analysis. Reidel Publishing Company, Holland · Zbl 0261.65001
[4] Buseman H, Ewald G, Shephard GC (1963) Convex bodies and convexity on Grassman cones, Parts I?IV. Math Ann 151:1-41 · Zbl 0112.37301 · doi:10.1007/BF01343323
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