Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations
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Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations. / Hochmuth, Reinhard.
in: Nonlinear Analysis-Theory Methods & Applications, Jahrgang 46, Nr. 1, 01.10.2001, S. 1-18.Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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TY - JOUR
T1 - Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations
AU - Hochmuth, Reinhard
PY - 2001/10/1
Y1 - 2001/10/1
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 - Mathematics
KW - nonlinear anisotropic problems
KW - tensor products
KW - regularity theory
KW - mountain pass method
KW - numerical approximations
KW - multiscale discretizations
KW - nonlinear anisotropic problems
KW - tensor products
KW - regularity theory
KW - mountain pass method
KW - numerical approximations
KW - multiscale discretizations
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 - Journal articles
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 -