St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 214
... Suppose zo E Nes is a bifurcation point , i.e. , there exists a family of solutions ve of ( 1.6 ) and ( 1.7 ) with ve → vz。y in H2 for some y Є H1 ( R2 ; R ) . Then zo is a critical point of Weff , e for e sufficiently small . ( 2 ) ...
... Suppose zo E Nes is a bifurcation point , i.e. , there exists a family of solutions ve of ( 1.6 ) and ( 1.7 ) with ve → vz。y in H2 for some y Є H1 ( R2 ; R ) . Then zo is a critical point of Weff , e for e sufficiently small . ( 2 ) ...
Sayfa 337
... Suppose a manifold M Є M has property ( VE ) . By Theorem 3.1 , there is a compatible symmetric solution ( a , 7 ) of the BKN - equation over M. Then the operator HM has a nonpositive eigenvalue by Lemma 4.3 . The " if " part . Suppose ...
... Suppose a manifold M Є M has property ( VE ) . By Theorem 3.1 , there is a compatible symmetric solution ( a , 7 ) of the BKN - equation over M. Then the operator HM has a nonpositive eigenvalue by Lemma 4.3 . The " if " part . Suppose ...
Sayfa 408
... Suppose that ( M , g ) is a compact orientable Riemannian manifold with K≤ 0 and that K < 0 for at least one point . In [ 22 ] it was established that each Killing tensor field on M , and in particular the Killing field ğ , has the ...
... Suppose that ( M , g ) is a compact orientable Riemannian manifold with K≤ 0 and that K < 0 for at least one point . In [ 22 ] it was established that each Killing tensor field on M , and in particular the Killing field ğ , has the ...
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