Normally solvable nonlinear boundary value problems
- We investigate nonlinear problems which appear as Euler-Lagrange equations for a variational problem. They include in particular variational boundary value problems for nonlinear elliptic equations studied by F. Browder in the 1960s. We establish a solvability criterion of such problems and elaborate an efficient orthogonal projection method for constructing approximate solutions.
Author details: | Ammar AlsaedyORCiD, Nikolai Nikolaevich TarkhanovORCiDGND |
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DOI: | https://doi.org/10.1016/j.na.2013.09.024 |
ISSN: | 0362-546X |
ISSN: | 1873-5215 |
Title of parent work (English): | Nonlinear analysis : theory, methods & applications ; an international multidisciplinary journal |
Publisher: | Elsevier |
Place of publishing: | Oxford |
Publication type: | Article |
Language: | English |
Year of first publication: | 2014 |
Publication year: | 2014 |
Release date: | 2017/03/27 |
Tag: | Boundary value problem; Dirichlet to Neumann operator; Nonlinear Laplace operator |
Volume: | 95 |
Number of pages: | 15 |
First page: | 468 |
Last Page: | 482 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |