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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 7 of
...
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 7 of
...
Sayfa 498
Suppose a sequence (uj,fj) satisfies the assumptions of item (ii). We denote by F
the set {fi}igN U {f}. Using the embedding (5.8) and the fact that tt is proper, we
see that the set n~1(F) is compact in Cm+r(M, M') x 7. Therefore, there exists a ...
Suppose a sequence (uj,fj) satisfies the assumptions of item (ii). We denote by F
the set {fi}igN U {f}. Using the embedding (5.8) and the fact that tt is proper, we
see that the set n~1(F) is compact in Cm+r(M, M') x 7. Therefore, there exists a ...
Sayfa 566
For any p > 2 we define the domain Dp := {0 < (X, F,^)cRxRx R2 x R2 : ||£||p < X, \\
n\\q < Y}. Let K be any compact subset of Dp, and let e be an arbitrary positive
number. Then there exists a function B = B£^P}fc(X,Y,x,y) infinitely differentiate in
a ...
For any p > 2 we define the domain Dp := {0 < (X, F,^)cRxRx R2 x R2 : ||£||p < X, \\
n\\q < Y}. Let K be any compact subset of Dp, and let e be an arbitrary positive
number. Then there exists a function B = B£^P}fc(X,Y,x,y) infinitely differentiate in
a ...
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İçindekiler
G KOKAREV AND S KUKSIN | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
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algebra American Mathematical Society apply arbitrary assume asymptotics belongs boundary conditions cellular ring Chevalley groups Co-contraction coefficients coincides commutative commutative ring compact consider constant contains convergence Corollary corresponding curve cyclic cyclic group defined Definition denote differential operator domain easily seen eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists exponential finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal identity implies inequality inner function integral invariant isomorphism Jordan model kernel lattice Lemma linear manifold mapping Math matrix g Moreover multiple norm notation obtain orthogonal parameters perestroika polynomial present paper problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence smooth Sobolev spaces solution solvable spectrum subgroup Subsection subspaces Suppose symplectic group Theorem Theorem 2.1 theory theta theta-series transformation transvections zero