5-Shaped Bifurcation Curves of Nonlinear Elliptic Boundary Value Problems.
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Henning Wiebers (1985)
Mathematische Annalen
Amster, P., Keilhauer, G., Mariani, M.C. (1999)
Abstract and Applied Analysis
Pierre A. Vuillermot (1984)
Mathematische Annalen
P.A. Vuillermot (1988)
Mathematische Annalen
Jean René Licois, Laurent Véron (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Korkut, Luka, Pašić, Mervan, Žubrinić, Darko (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Vassilevski, P.S., Wade, J.G. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Bogusław Bożek, Ryszard Mosurski (1984)
Annales Polonici Mathematici
Montefusco, Eugenio (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Calahorrano Recalde, Marco, Mayorga Zambrano, Juan (2001)
Revista Colombiana de Matemáticas
Brown, Kenneth J., Wu, Tsung-Fang (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Hans Wilhelm Alt, Luis A. Caffarelli, Avner Friedman (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Amann, H., Fila, M. (1997)
Acta Mathematica Universitatis Comenianae. New Series
El Amrouss, Abdel R., Tsouli, Najib (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Martin Schechter (1992)
Annales Polonici Mathematici
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result. We then show how this leads to stronger results in applications.
M.S. Mock (1975)
Numerische Mathematik
Korman, Philip (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Antonin Chambolle, Erik Lindgren, Régis Monneau (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
Antonin Chambolle, Erik Lindgren, Régis Monneau (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
Taira, Kazuaki (2001)
International Journal of Mathematics and Mathematical Sciences
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