Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields.
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Francois Treves, Paulo D. Cordaro (1995)
Inventiones mathematicae
Harold Donnelly (1990)
Mathematische Zeitschrift
Jacek Komorowski (1979)
Antunes, Pedro, Freitas, Pedro (2006)
Experimental Mathematics
L. Greco, T. Iwaniec (1994)
Annales de l'I.H.P. Analyse non linéaire
Paul Schmutz (1996)
Journal für die reine und angewandte Mathematik
Giovanni Alessandrini (1994)
Commentarii mathematici Helvetici
Harold Donnelly, Charles Fefferman (1988)
Inventiones mathematicae
Zindine Djadli, Antoinette Jourdain (2002)
Bollettino dell'Unione Matematica Italiana
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.
Abdellatif Zeggar (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Y. Colin de Verdière (1976/1977)
Séminaire Équations aux dérivées partielles (Polytechnique)
Louis Boutet de Monvel (1978/1979)
Séminaire Bourbaki
François Trèves (1981)
Journées équations aux dérivées partielles
Kordyukova, Svetlana (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Alain Connes (1985)
Publications Mathématiques de l'IHÉS
Yuri A. Kordyukov (1997)
Manuscripta mathematica
Daniel W. Stroock (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Hermann Karcher, John C. Wood (1984)
Journal für die reine und angewandte Mathematik
Zindine Djadli (1999)
Revista Matemática Complutense
In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.
Zhang, Qi S. (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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