Lagrange multipliers for functions derivable along directions in a linear subspace
---Publisher, magazine: ,
Publication year: 2005
Lưu Trích dẫn Chia sẻAbstract
The authors prove a Lagrange multipliers theorem for a class of functions that are derivable along directions in a linear subspace of a Banach space. The result generalizes the classical result on Lagrange multipliers. Next a generalization of the Lax-Milgram theorem is given as well as some applications to variational inequalities and quasilinear elliptic equations.
Tags: Lagrange multipliers; Lax-Milgram theorem; variational inequalities; quasilinear elliptic eigenvalue problem