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 |
|---|---|
| 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 |
