Supersolutions and stabilization on the solution of a nonlinear parabolic system.
Hamid Elouardi, François De Thélin (1989)
Publicacions Matemàtiques
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Hamid Elouardi, François De Thélin (1989)
Publicacions Matemàtiques
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Jean Vélin, François De Thélin (1993)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we give some existence and nonexistence results of non trivial solutions of nonlinear elliptic systems involving the p-Laplacian.
P. L. Lions, B. Perthame (1989)
Annales de l'I.H.P. Analyse non linéaire
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M. Badii, J. I. Diaz, A. Tesei (1987)
Rendiconti del Seminario Matematico della Università di Padova
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S. Kamin, L. A. Peletier (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Anna Buttu (1992)
Rendiconti del Seminario Matematico della Università di Padova
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François Hamel (1997)
Annales de l'I.H.P. Analyse non linéaire
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M. Bouchekif (1994)
Publicacions Matemàtiques
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In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems. Supersolution and comparison principles are our main ingredients.