Displaying similar documents to “On a class of sequences related to the l p space defined by a sequence of Orlicz functions”

Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm

Henryk Hudzik, Thomas Landes (1992)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.

Neumann problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces

Mihai Mihăilescu, Vicenţiu Rădulescu (2008)

Annales de l’institut Fourier

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We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz–Sobolev space.