Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side

Diego Averna; Gabriele Bonanno

Displaying similar documents to “Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side”

Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')

L. H. Erbe, W. Krawcewicz (1991)

Annales Polonici Mathematici

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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.

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Novotny, Antonin (1997)

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A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

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We consider the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $| u | \to \infty$ and logistic type nonlinearities. In both situations we prove the $H^{2} (ℝ^{N})$ -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).

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Existence and asymptotic behaviour of positive solutions for some nonlinear parabolic systems in the half-space.

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Decay for travelling waves in the Gross–Pitaevskii equation

Philippe Gravejat (2004)

Annales de l'I.H.P. Analyse non linéaire

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Approximate identities and Young type inequalities in Musielak-Orlicz spaces

Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura (2013)

Czechoslovak Mathematical Journal

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We discuss the convergence of approximate identities in Musielak-Orlicz spaces extending the results given by Cruz-Uribe and Fiorenza (2007) and the authors F.-Y. Maeda, Y. Mizuta and T. Ohno (2010). As in these papers, we treat the case where the approximate identity is of potential type and the case where the approximate identity is defined by a function of compact support. We also give a Young type inequality for convolution with respect to the norm in Musielak-Orlicz spaces. ...