St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
65 sonuçtan 1-3 arası sonuçlar
Sayfa 498
... bounded subsequence of a sequence u , as in ( iii ) . We prove that this sequence has a subsequence that Cm + -converges to a mapping u such that ( u , f ) E MA , [ ] . Since the sequence u , is at least C1 - bounded , the Arzelá ...
... bounded subsequence of a sequence u , as in ( iii ) . We prove that this sequence has a subsequence that Cm + -converges to a mapping u such that ( u , f ) E MA , [ ] . Since the sequence u , is at least C1 - bounded , the Arzelá ...
Sayfa 499
... bounded subsequence u1 . Proof . The necessity of the existence of a C - 1 - bounded subsequence follows from Lemma 6.1 . Now , we prove sufficiency . Let u1 , be a Ck - 1 - bounded subsequence of u , satisfy- ing the conditions of the ...
... bounded subsequence u1 . Proof . The necessity of the existence of a C - 1 - bounded subsequence follows from Lemma 6.1 . Now , we prove sufficiency . Let u1 , be a Ck - 1 - bounded subsequence of u , satisfy- ing the conditions of the ...
Sayfa 739
... bounded as an operator from LP ( R ) to Lo ( R ) , 1 < p < ∞ , and also from H1 ( R ) to L1 ( R ) ( see [ 1 , 24 ] ) . It should be noted that HM is not bounded on L1 ( R ) . But in our case g Of H1 because ƒ € K. Thus , [ \ 0 ' ( x ) ...
... bounded as an operator from LP ( R ) to Lo ( R ) , 1 < p < ∞ , and also from H1 ( R ) to L1 ( R ) ( see [ 1 , 24 ] ) . It should be noted that HM is not bounded on L1 ( R ) . But in our case g Of H1 because ƒ € K. Thus , [ \ 0 ' ( x ) ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
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algebra apply assume Banach space base basis belongs boundary bounded called coefficients coincides compact complete Consequently consider constant constructed contains convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection sufficiently Suppose Theorem theory transformation values vector zero