On multiple solutions for nonhomogeneous system of elliptic equations.
J. Chabrowski (1996)
Revista Matemática de la Universidad Complutense de Madrid
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J. Chabrowski (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Jardel Morais Pereira (2000)
Revista Matemática Complutense
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The global well-posedness of the initial-value problem associated to the coupled system of BBM-Burgers equations (*) in the classical Sobolev spaces H(R) x H(R) for s ≥ 2 is studied. Furthermore we find decay estimates of the solutions of (*) in the norm L(R) x L(R), 2 ≤ q ≤ ∞ for general initial data. Model (*) is motivated by a work due to Gear and Grimshaw [10] who considered strong interaction of weakly nonlinear long waves governed by a coupled system of KdV equations.
Belhassen Dehman, Gilles Lebeau, Enrique Zuazua (2003)
Annales scientifiques de l'École Normale Supérieure
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Marcello Lucia, Paola Magrone, Huan-Song Zhou (2003)
Revista Matemática Complutense
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This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
Irena Lasiecka, Daniel Toundykov (2007)
Control and Cybernetics
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Giovanni Mancini, Enzo Mitidieri (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Robert Dalmasso (1993)
Revista Matemática de la Universidad Complutense de Madrid
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D. Cioranescu, P. Donato, F. Murat, E. Zuazua (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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