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91 sonuçtan 1-3 arası sonuçlar
Sayfa 470
Introduction The present paper is devoted to the theory of quasilinear elliptic
differential operators acting on the mappings u : M — ▻ M', where M and M' are
smooth manifolds without boundary. By a differential operator A we mean a ...
Introduction The present paper is devoted to the theory of quasilinear elliptic
differential operators acting on the mappings u : M — ▻ M', where M and M' are
smooth manifolds without boundary. By a differential operator A we mean a ...
Sayfa 471
Choosing the dependence of the elliptic equation on the parameter f so as to
ensure a certain transversality condition, in Theorem 5.1 we prove that 9JIa,[u] is
a smooth manifold and tta is a Fredholm mapping. Moreover, in Theorem 5.5 it is
...
Choosing the dependence of the elliptic equation on the parameter f so as to
ensure a certain transversality condition, in Theorem 5.1 we prove that 9JIa,[u] is
a smooth manifold and tta is a Fredholm mapping. Moreover, in Theorem 5.5 it is
...
Sayfa 943
elliptic Selberg integrals explicitly. For brevity, we drop the bases p, q in the
notation for elliptic gamma functions from now on. We introduce the Type I
integrand as (4.2) A'(z;Cn) 1 TT n-i/ -l -l -i -i\TT nr=n T(trZj,trZj ) = o-vT 11 r (zJz^
zJzk *k,zs zk )[[ ...
elliptic Selberg integrals explicitly. For brevity, we drop the bases p, q in the
notation for elliptic gamma functions from now on. We introduce the Type I
integrand as (4.2) A'(z;Cn) 1 TT n-i/ -l -l -i -i\TT nr=n T(trZj,trZj ) = o-vT 11 r (zJz^
zJzk *k,zs zk )[[ ...
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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