Saddle points and Lagrange multipliers in Banach spaces.

Autor: Stefanelli, Ulisse, Visintin, Augusto
Zdroj: Discrete & Continuous Dynamical Systems - Series S; Jan2024, Vol. 17 Issue 1, p1-21, 21p
Abstrakt: Constrained extremal points of a potential can be represented as saddle points of a Lagrangian. We prove existence of such saddle points for nonquadratic potentials in Banach spaces under nonlinear constraints. We then apply these results to the so-called mixed formulation of nonlinear elliptic partial differential equations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index