就Bethuel,Brezis和Helein提出的问题讨论了Planar Ferromagnets and Antiferromagnets泛函在H={u(x)=(sinf(r)|xx|,cosf(r))∈H1(B1,S2);f(0)=0,f(1)=2π,r=|x|}中的径向极小元的一些性质,其中包括此泛函的径向极小元的零点的分布及若...就Bethuel,Brezis和Helein提出的问题讨论了Planar Ferromagnets and Antiferromagnets泛函在H={u(x)=(sinf(r)|xx|,cosf(r))∈H1(B1,S2);f(0)=0,f(1)=2π,r=|x|}中的径向极小元的一些性质,其中包括此泛函的径向极小元的零点的分布及若干个上界估计,并给出了这一问题的肯定回答.展开更多
Although the Lagrange multiplier rule to solve the variational problem ofLagrange has already been presented,the proof of the rule is very difficult:“The proofof some problems wants quite deep mathematical methods”(...Although the Lagrange multiplier rule to solve the variational problem ofLagrange has already been presented,the proof of the rule is very difficult:“The proofof some problems wants quite deep mathematical methods”(See references [2] and [1]).This paper presents a mathematically analytic demonstration which is very simple,compared with those described in the references mentioned above.展开更多
文摘就Bethuel,Brezis和Helein提出的问题讨论了Planar Ferromagnets and Antiferromagnets泛函在H={u(x)=(sinf(r)|xx|,cosf(r))∈H1(B1,S2);f(0)=0,f(1)=2π,r=|x|}中的径向极小元的一些性质,其中包括此泛函的径向极小元的零点的分布及若干个上界估计,并给出了这一问题的肯定回答.
文摘Although the Lagrange multiplier rule to solve the variational problem ofLagrange has already been presented,the proof of the rule is very difficult:“The proofof some problems wants quite deep mathematical methods”(See references [2] and [1]).This paper presents a mathematically analytic demonstration which is very simple,compared with those described in the references mentioned above.
