Weak boundary values of solutions of Lagrangian problems
- We define weak boundary values of solutions to those nonlinear differential equations which appear as Euler-Lagrange equations of variational problems. As a result 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 the study of Lagrangian problems.
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| Author details: | Ammar AlsaedyORCiD, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-72617 |
| ISSN: | 2193-6943 |
| Publication series (Volume number): | Preprints des Instituts für Mathematik der Universität Potsdam (4 (2015) 2) |
| Publisher: | Universitätsverlag Potsdam |
| Place of publishing: | Potsdam |
| Publication type: | Preprint |
| Language: | English |
| Year of first publication: | 2015 |
| Publication year: | 2015 |
| Publishing institution: | Universität Potsdam |
| Publishing institution: | Universitätsverlag Potsdam |
| Release date: | 2015/01/27 |
| Tag: | Lagrangian system; mapping degree; nonlinear equations; quasilinear Fredholm operator; weak boundary values |
| Volume: | 4 |
| Issue: | 2 |
| Number of pages: | 24 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Collection(s): | Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2015 |
| Publishing method: | Universitätsverlag Potsdam |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
| External remark: | MSC - Klassifikation: 35J92 , 35J67 , 35J66 |
