Abstract
Various nonlinear anisotropic boundary value problems, which lead to unbounded functionals satisfying the Palais-Smale condition with respect to anisotropic Sobolev spaces were examined. Homogeneous Dirichlet problems with respect to nonlinear anisotropic partial differential operators were considered. In particular, the Zabusky equation, a nonhypoelliptic squared wave equation and a Boussinesq equation were investigated.
| Original language | English |
|---|---|
| Journal | Nonlinear Analysis-Theory Methods & Applications |
| Volume | 46 |
| Issue number | 1 |
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| ISSN | 0362-546X |
| DOIs | |
| Publication status | Published - 01.10.2001 |
| Externally published | Yes |
Research areas and keywords
- Mathematics
- nonlinear anisotropic problems
- tensor products
- regularity theory
- mountain pass method
- numerical approximations
- multiscale discretizations
ASJC Scopus Subject Areas
- Applied Mathematics
- Analysis
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