A Degree Theory for Lagrangian Boundary Value Problems
Author:
Alsaedy Ammar1,
Tarkhanov Nikolai2
Affiliation:
1. College of Science Alnahrain University, Baghdad, Iraq
2. University of Potsdam
Abstract
We study those nonlinear partial differential equations which appear as Euler-Lagrange equations of variational problems. On defining weak boundary values of solutions to such equations we initiate the theory of Lagrangian boundary value problems in spaces of appropriate smoothness. We also analyse if the concept of mapping degree of current importance applies to Lagrangian problems
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics