Invertible and Weakly Invertible Singular Inner Functions in the Spaces Dp
Miroljub Jevtić (1983)
Publications de l'Institut Mathématique
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Miroljub Jevtić (1983)
Publications de l'Institut Mathématique
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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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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...
J.D. Keckic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.
Agnieszka Prusińska, Alexey Tret'yakov (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This paper is devoted to singular calculus of variations problems with constraint functional not regular at the solution point in the sense that the first derivative is not surjective. In the first part of the paper we pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we formulate and prove necessary and sufficient conditions for optimality in singular case and illustrate our results by classical example of calculus...
Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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Jun He, Yan-Min Liu, Hua Ke, Jun-Kang Tian, Xiang Li (2016)
Open Mathematics
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In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math. China, 2011, 6, 363-378.
Ilkka Holopainen, Nageswari Shanmugalingam (2002)
Collectanea Mathematica
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On relatively compact domains in metric measure spaces we construct singular functions that play the role of Green functions of the p-Laplacian. We give a characterization of metric spaces that support a global version of such singular function, in terms of capacity estimates at infinity of such metric spaces. In addition, when the measure of the space is locally Q-regular, we study quasiconformal invariance property associated with the existence of global singular functions. ...
Ladopoulos, E.G., Tsamasphyros, G., Zisis, V.A. (2004)
International Journal of Mathematics and Mathematical Sciences
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