On -homeomorphisms.
Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Panda, G.K., Ray, P.K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Domenico Mucci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the lower semicontinuous envelope with respect to the -topology of a class of isotropic functionals with linear growth defined on mappings from the -dimensional ball into that are constrained to take values into a smooth submanifold of .
Ham, Yoonmee (2010)
Mathematical Problems in Engineering
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Dovgoshey, Oleksiy, Riihentaus, Juhani (2010)
International Journal of Mathematics and Mathematical Sciences
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Lech Górniewicz (1998)
Archivum Mathematicum
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We shall consider periodic problems for ordinary differential equations of the form where satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of , the topological degree of, associated to (), multivalued Poincaré operator turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding...