On the existence of a positive solution of semilinear elliptic equations in unbounded domains
Abbas Bahri, Pierre-Louis Lions (1997)
Annales de l'I.H.P. Analyse non linéaire
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Abbas Bahri, Pierre-Louis Lions (1997)
Annales de l'I.H.P. Analyse non linéaire
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F. Nicolò, J. Renn, A. Steinmann (1986)
Annales de l'I.H.P. Physique théorique
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J. Olivares-Vázquez (1992)
Revista Matemática de la Universidad Complutense de Madrid
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A family of germs at 0 of holomorphic vector fields in C without separatrices is constructed, with the aid of the blown-up foliation F in the blown-up manifold C. We impose conditions on the multiplicity and the linear part of F at its singular points (i.e., non-semisimplicity and certain nonresonancy), which are sufficient for the original vector field to be separatrix-free.
H. Epstein, V. Glaser (1973)
Annales de l'I.H.P. Physique théorique
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Tohru Ozawa (1991)
Annales de l'I.H.P. Physique théorique
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Stathis Filippas, Wenxiong Liu (1993)
Annales de l'I.H.P. Analyse non linéaire
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