A Singular Solution of the Capillary Equation. I. Existence.
Paul Concus, Robert Finn (1975)
Inventiones mathematicae
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Paul Concus, Robert Finn (1975)
Inventiones mathematicae
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Paul Concus, Robert Finn (1975)
Inventiones mathematicae
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H. Maier, G. Tenenbaum (1984)
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D. Eisenbud, J. Harris (1983)
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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A. Bertram (1987)
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
Jean E. Taylor (1973)
Inventiones mathematicae
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