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65 sonuçtan 1-3 arası sonuçlar
Sayfa 19
For a bounded Lipschitz domain N2 CRM and a function uo EW1 ( 1 ; RM ) , the
following minimization problem is considered : ( P ) | f ( Vu ) dx → min in uo + W1
( 82 ; R ^ ) , where f : RON + 10 , 00 ) is a strictly convex integrand . Let M denote
...
For a bounded Lipschitz domain N2 CRM and a function uo EW1 ( 1 ; RM ) , the
following minimization problem is considered : ( P ) | f ( Vu ) dx → min in uo + W1
( 82 ; R ^ ) , where f : RON + 10 , 00 ) is a strictly convex integrand . Let M denote
...
Sayfa 293
The arguments at the beginning of the proof show that on this bounded set the
functions A ( z , t , n ) are bounded uniformly in t E R and in n ( it suffices to cover {
lz1 = R . } by a finite number of sufficiently small disks ) . Thus , the analytic ...
The arguments at the beginning of the proof show that on this bounded set the
functions A ( z , t , n ) are bounded uniformly in t E R and in n ( it suffices to cover {
lz1 = R . } by a finite number of sufficiently small disks ) . Thus , the analytic ...
Sayfa 478
... xi ) + c2f2 ( . x " ) ( LX , L X ) – c ? f ' ( x " ) ( X , LX ) – E ( 8 ) , where e ( ) 0 . For
sufficiently large fixed C , the expression in parentheses in the second term is
nonnegative and uniformly bounded . Consequently , the product of this
expression ...
... xi ) + c2f2 ( . x " ) ( LX , L X ) – c ? f ' ( x " ) ( X , LX ) – E ( 8 ) , where e ( ) 0 . For
sufficiently large fixed C , the expression in parentheses in the second term is
nonnegative and uniformly bounded . Consequently , the product of this
expression ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero