Shapour Heidarkhani (2013)
Annales Polonici Mathematici
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Using Ricceri's variational principle, we establish the existence of infinitely many solutions for a class of two-point boundary value Kirchhoff-type systems.
Alain Damlamian (1985)
Banach Center Publications
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S. Boujena, A. Chiboub, J. Pousin (2011)
Mathematical Modelling of Natural Phenomena
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In this article a variational reduction method, how to handle the case of heterogenous domains for the Transport equation, is presented. This method allows to get rid of the restrictions on the size of time steps due to the thin parts of the domain. In the thin part of the domain, only a differential problem, with respect to the space variable, is to be approximated numerically. Numerical results are presented with a simple example. The ...
Claus Gerhardt (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Michael Meier, Stefan Hildebrandr (1979)
Manuscripta mathematica
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Gianni Dal Maso, Alessandro Giacomini, Marcello Ponsiglione (2009)
Bollettino dell'Unione Matematica Italiana
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We present the main existence result for quasistatic crack growth in the model proposed by Dal Maso, Francfort, and Toader, and prove some qualitative properties of the solutions.
D. Bouafia, T. Moussaoui, D. O’Regan (2016)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.
M. Pavlovic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Steinbach, Jörg (1998)
Journal of Convex Analysis
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S. Boujena, A. Chiboub, J. Pousin (2010)
Mathematical Modelling of Natural Phenomena
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Plant growth depends essentially on nutrients coming from the roots and metabolites produced by the plant. Appearance of new branches is determined by concentrations of certain plant hormones. The most important of them are Auxin and Cytokinin. Auxin is produced in the growing, Cytokinin in either roots or in growing parts. Many dynamical models of this phenomena have been studied in [1]. In [5], the authors deal with one branch model....
H. Brézis, G. Stampacchia (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Engelbert Tausch (1978/79)
Mathematische Zeitschrift
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