Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
Michael G. Crandall (1989)
Annales de l'I.H.P. Analyse non linéaire
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Michael G. Crandall (1989)
Annales de l'I.H.P. Analyse non linéaire
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Rabah Tahraoui (2002)
Annales de l'I.H.P. Analyse non linéaire
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Joao-Paulo Dias, Mário Figueira (1991)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.
Philippe Clément, Guido Sweers (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Shen-Chi Tang (1965)
Collectanea Mathematica
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