Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (1)
- Authors
- Alsaedy, Ammar; Tarkhanov, Nikolai
- Contact information
- Alsaedy, Ammar: College of Science Alnahrain University, Baghdad, Iraq; Tarkhanov, Nikolai: Institute for Mathematics University of Potsdam Karl-Liebknecht-Str. 24/25, Potsdam, 14476 Germany;
- Keywords
- nonlinear equations; Lagrangian system; weak boundary values; quasilinear Fredholm operators; mapping degree
- 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
- Pages
- 5–25
- DOI
- 10.17516/1997-1397-2020-13-1-5-25
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/129893
Journal of Siberian Federal University. Mathematics & Physics / A Degree Theory for Lagrangian Boundary Value Problems
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