Variational solutions of stationary Hamilton-Jacobi equations.
Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Stanisław L. Bażański (2003)
Banach Center Publications
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Śladkowska, Janina (2015-11-13T13:54:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jan Sokołowski (1987)
Banach Center Publications
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Peter Kosmol, Dieter Müller-Wichards (2004)
Colloquium Mathematicae
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We describe an approach to variational problems, where the solutions appear as pointwise (finite-dimensional) minima for fixed t of the supplemented Lagrangian. The minimization is performed simultaneously with respect to the state variable x and ẋ, as opposed to Pontryagin's maximum principle, where optimization is done only with respect to the ẋ-variable. We use the idea of the equivalent problems of Carathéodory employing suitable (and simple) supplements to the original minimization...
Francaviglia, Mauro, Palese, Marcella
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Summary: We provide a geometric interpretation of generalized Jacobi morphisms in the framework of finite order variational sequences. Jacobi morphisms arise classically as an outcome of an invariant decomposition of the second variation of a Lagrangian. Here they are characterized in the context of generalized Lagrangian symmetries in terms of variational Lie derivatives of generalized Euler-Lagrange morphisms. We introduce the variational vertical derivative and stress its link with...
Renate McLaughlin (1973)
Colloquium Mathematicae
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Jean Ollagnier, Didier Pinchon (1982)
Studia Mathematica
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Alain Damlamian (1985)
Banach Center Publications
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Krupka, D. (2006)
Lobachevskii Journal of Mathematics
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Konnov, Igor V. (1999)
Lobachevskii Journal of Mathematics
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Jochen W. Schmidt (1990)
Banach Center Publications
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Steinbach, Jörg (1998)
Journal of Convex Analysis
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Adrian Królak (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider some variational principles in the spaces C*(X) of bounded continuous functions on metrizable spaces X, introduced by M. M. Choban, P. S. Kenderov and J. P. Revalski. In particular we give an answer (consistent with ZFC) to a question stated by these authors.