Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 46 |
| Issue number | 1 |
| Publication status | Published - Oct 2001 |
| Externally published | Yes |
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.
Keywords
- Mountain pass method, Multiscale discretizations, Nonlinear anisotropic problems, Numerical approximations, Regularity theory, Tensor products
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 46, No. 1, 10.2001, p. 1-18.
Research output: Contribution to journal › Article › Research › 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 -