Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations
B. S. Ogundare (2009)
Matematički Vesnik
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B. S. Ogundare (2009)
Matematički Vesnik
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Ryszard Grzaślewicz, Witold Seredyński (2005)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to investigate the stability of the positive part of the unit ball in Orlicz spaces, endowed with the Luxemburg norm. The convex set in a topological vector space is stable if the midpoint map , is open with respect to the inherited topology in . The main theorem is established: In the Orlicz space the stability of the positive part of the unit ball is equivalent to the stability of the unit ball.
B. S. Ogundare (2006)
Kragujevac Journal of Mathematics
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Menita Carozza, Antonia Passarelli di Napoli (2000)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we prove a regularity result for very weak solutions of equations of the type , where , grow in the gradient like and is not in divergence form. Namely we prove that a very weak solution of our equation belongs to . We also prove global higher integrability for a very weak solution for the Dirichlet problem
Diamandescu, Aurel (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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