St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
80 sonuçtan 1-3 arası sonuçlar
Sayfa 214
... Theorem 2.3 ( Reduced Energy ) . Under the assumptions of Theorem 2.1 , for € > 0 sufficiently small , there exists a constant do > 0 and a C3 function : R2 R such that there is a one - to - one correspondence between the critical ...
... Theorem 2.3 ( Reduced Energy ) . Under the assumptions of Theorem 2.1 , for € > 0 sufficiently small , there exists a constant do > 0 and a C3 function : R2 R such that there is a one - to - one correspondence between the critical ...
Sayfa 217
... Theorem 3.3 . Assume the conditions of Theorem 3.2 , and let wzye be a unique solution of ( 3.2 ) for given z Є R2 , y € H1 ( R2 ; R ) , so that Þ ( z ) is well defined . Then for 0 < e≤ 0 , the reduced energy function Þ¿ ( z ) has a ...
... Theorem 3.3 . Assume the conditions of Theorem 3.2 , and let wzye be a unique solution of ( 3.2 ) for given z Є R2 , y € H1 ( R2 ; R ) , so that Þ ( z ) is well defined . Then for 0 < e≤ 0 , the reduced energy function Þ¿ ( z ) has a ...
Sayfa 405
... theorem . 1 2 ▽ * Jkj = ¦ ¦ Vj ( 91Ïit ) . Theorem 1.7 . Suppose ( M , g ) is a complete Riemannian manifold with positive Ricci curvature and ( M , g ) is a Riemannian manifold with nonpositive sectional curvature . Then there exist ...
... theorem . 1 2 ▽ * Jkj = ¦ ¦ Vj ( 91Ïit ) . Theorem 1.7 . Suppose ( M , g ) is a complete Riemannian manifold with positive Ricci curvature and ( M , g ) is a Riemannian manifold with nonpositive sectional curvature . Then there exist ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero