New bounds for the principal Dirichlet eigenvalue of planar regions.
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Antunes, Pedro, Freitas, Pedro (2006)
Experimental Mathematics
D. Yafaev (1993/1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
Yongsheng Han, Dachun Yang (2002)
B. Brandolini, C. Nitsch, C. Trombetti (2009)
Annales de l'I.H.P. Analyse non linéaire
Andrzej Hulanicki, Joe Jenkins (1987)
Studia Mathematica
Ancona, A., Helffer, B., Hoffmann-Ostenhof, T. (2004)
Documenta Mathematica
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini (2009)
Annales de l'I.H.P. Analyse non linéaire
Giovanni Alessandrini (1994)
Commentarii mathematici Helvetici
Abderrahmane. El Hachimi, François De Thélin (1995)
Publicacions Matemàtiques
V. Ivrii (1990/1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
S.Ya. Yakubov (1996)
Semigroup forum
Qin Li, Qun Lin, Hehu Xie (2013)
Applications of Mathematics
The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, , and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to...
R. Rannacher (1979)
Numerische Mathematik
Tohru Ozawa (1991)
Mathematische Zeitschrift
Zuo Dong Yang, Junli Yuan (2007)
Commentationes Mathematicae Universitatis Carolinae
We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.
Walter Petry (1973)
Commentationes Mathematicae Universitatis Carolinae
Herbert Amann (1976)
Mathematische Zeitschrift
Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)
Annales de l'I.H.P. Analyse non linéaire
K. Schmitt, H.O. Peitgen, D. Saupe (1981)
Journal für die reine und angewandte Mathematik
C.J. Amick, J.F. Toland (1983)
Mathematische Annalen
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