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Sayfa 1223
... forms an S - system . The case when dim Y < oo and the topology n is stronger
than the weak topology of His common in applications . Then by ( B ) the
condition ( C ) reduces to the single relation ( 1 . 9 ) for B : = Bg , B . The
assumptions ( A ) ...
... forms an S - system . The case when dim Y < oo and the topology n is stronger
than the weak topology of His common in applications . Then by ( B ) the
condition ( C ) reduces to the single relation ( 1 . 9 ) for B : = Bg , B . The
assumptions ( A ) ...
Sayfa 1224
2 ) under the assumptions of Theorem 1 . 1 . It is well known that for sufficient
smoothness of F and Gin ( 0 . 1 ) the Lagrange multiplier rule can be used to
solve the problem . We show that in the general case this rule singles out
superfluous ...
2 ) under the assumptions of Theorem 1 . 1 . It is well known that for sufficient
smoothness of F and Gin ( 0 . 1 ) the Lagrange multiplier rule can be used to
solve the problem . We show that in the general case this rule singles out
superfluous ...
Sayfa 1228
The proof reduces to a justification of the assumptions of Lemma 2 . 3 . The first of
them ( a ) is true by Lemma 2 . 1 , and the second ( b ) is true for K : = K +
because C + + K + C C + CY = R X Y by ( 2 . 1 ) , and by construction span Kt =
Rx span ...
The proof reduces to a justification of the assumptions of Lemma 2 . 3 . The first of
them ( a ) is true by Lemma 2 . 1 , and the second ( b ) is true for K : = K +
because C + + K + C C + CY = R X Y by ( 2 . 1 ) , and by construction span Kt =
Rx span ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero