Kitabın içinden
54 sonuçtan 1-3 arası sonuçlar
Sayfa 497
As always , let A denote a quasilinear elliptic differential operator of order k that
acts on the mappings from a compact manifold M to a manifold M ' . We denote by
m , r , and s some integers satisfying ( 5 . 5 ) . We assume that the Banach space
...
As always , let A denote a quasilinear elliptic differential operator of order k that
acts on the mappings from a compact manifold M to a manifold M ' . We denote by
m , r , and s some integers satisfying ( 5 . 5 ) . We assume that the Banach space
...
Sayfa 498
Suppose a sequence ( Ui , fi ) satisfies the assumptions of item ( ii ) . We denote
by F the set { fi } iEN U { f } . Using the embedding ( 5 . 8 ) and the fact that a is
proper , we see that the set 7 - 1 ( F ) is compact in Cm + r ( M , M ' ) * F .
Therefore ...
Suppose a sequence ( Ui , fi ) satisfies the assumptions of item ( ii ) . We denote
by F the set { fi } iEN U { f } . Using the embedding ( 5 . 8 ) and the fact that a is
proper , we see that the set 7 - 1 ( F ) is compact in Cm + r ( M , M ' ) * F .
Therefore ...
Sayfa 566
Let K be any compact subset of Dp , and let e be an arbitrary positive number .
Then there exists a function B = Bep , K ( X , Y , x , y ) infinitely differentiable in a
small neighborhood of K and such that 1 ) OSB < ( 1 + € ) ( p – 1 ) X1 / py1 / 4 , 2 )
...
Let K be any compact subset of Dp , and let e be an arbitrary positive number .
Then there exists a function B = Bep , K ( X , Y , x , y ) infinitely differentiable in a
small neighborhood of K and such that 1 ) OSB < ( 1 + € ) ( p – 1 ) X1 / py1 / 4 , 2 )
...
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction 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 factorization 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 suffices Suppose Theorem theory transformation values vector zero