On the existence of extremal projections
โ Scribed by J Blatter; E.W Cheney
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 434 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
We consider a very general second order nonlinear parabolic boundary value problem. Assuming the existence of an upper solution . and a lower solution satisfying ., we show that the problem has extremal periodic solutions in the order interval K=[ , .]. Our proof is based on a general surjectivity
Denote by a(n) and p(n), respectively, the smallest positive integers ,I and p for which an &(2, n, n') and an S,,(2, n + 1, n2 + n + 1) exist. We thus consider the problem of the existence of (nontrivial) quasimultiples of atline and projective planes of arbitrary order n. The best previously known