Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1-18 |
| Seitenumfang | 18 |
| Fachzeitschrift | Nonlinear Analysis, Theory, Methods and Applications |
| Jahrgang | 46 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - Okt. 2001 |
| Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Nonlinear Analysis, Theory, Methods and Applications, Jahrgang 46, Nr. 1, 10.2001, S. 1-18.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Nonlinear anisotropic boundary value problems - Regularity results and multiscale discretizations
AU - Hochmuth, Reinhard
PY - 2001/10
Y1 - 2001/10
N2 - 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.
AB - 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.
KW - Mountain pass method
KW - Multiscale discretizations
KW - Nonlinear anisotropic problems
KW - Numerical approximations
KW - Regularity theory
KW - Tensor products
UR - http://www.scopus.com/inward/record.url?scp=0035480441&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(99)00427-7
DO - 10.1016/S0362-546X(99)00427-7
M3 - Article
AN - SCOPUS:0035480441
VL - 46
SP - 1
EP - 18
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 1
ER -