Asymptotics for I. Global existence and decay
John M. Chadam (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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John M. Chadam (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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N.-H. Chang, M. Chipot (2003)
RACSAM
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We consider a class of nonlinear parabolic problems where the coefficients are depending on a weighted integral of the solution. We address the issues of existence, uniqueness, stationary solutions and in some cases asymptotic behaviour.
C. Parenti, F. Strocchi, G. Velo (1976)
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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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.
Robert Dalmasso (1995)
Revista Matemática Iberoamericana
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In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = u, p > 1, or f(u) = λu + au + ... + au, with p > 1, a > 0 for j = 1, ..., k and 0 ≤ λ < μ where μ = π/4R.
Thierry Goudon, Mazen Saad (2001)
Revista Matemática Iberoamericana
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This paper is devoted to general parabolic equations involving 0 and 1 order terms, in linear and nonlinear expressions, while the data only belong to L. Existence and entropic-uniqueness of solutions are proved.
Kunihiko Kajitani, Kaoru Yamaguti (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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