Azeddine Baalal, Mohamed Berghout. Source: Annals of Functional Analysis, Volume 10, Number 3, 308--324.Abstract: In this article we show some density properties of smooth and compactly supported functions in fractional Sobolev spaces with variable exponents. The additional difficulty in this...

Jinling Niu, Xuexin Li, Yuming Xing. Source: Annals of Functional Analysis, Volume 10, Number 3, 291--307.Abstract: In this paper, we establish the boundedness estimates for the composition of the homotopy operator $T$ and the potential operator $T_{\Phi }$ on differential forms with...

Carlos Esteve, Philippe Souplet. Source: Advances in Differential Equations, Volume 24, Number 7/8, 465--500.Abstract: We consider a well-known model for micro-electromechanical systems (MEMS) with variable dielectric permittivity, involving a parabolic equation with singular nonlinearity. We...

Dietrich Häfner, Cécile Huneau. Source: Advances in Differential Equations, Volume 24, Number 7/8, 435--464.Abstract: We consider the spherically symmetric $SU(2)$ Yang-Mills fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz, we show that there exists a countable...

F. Crispo, P. Maremonti, M. Růžička. Source: Advances in Differential Equations, Volume 24, Number 7/8, 407--434.Abstract: We consider the initial boundary value problem for the $p(t,x)$-Laplacian system in a bounded domain $\Omega$. If the initial data belongs to $L^{r_0}$, $r_0\geq 2$, we prove...

Robert Denk, Felix Hummel. Source: Advances in Differential Equations, Volume 24, Number 7/8, 377--406.Abstract: We study dispersive mixed-order systems of pseudodifferential operators in the setting of $L^p$-Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators generate...

Tadeusz Kuczumow, Stanisław Prus. Source: Annals of Functional Analysis, Volume 10, Number 2, 284--290.Abstract: In this article we introduce a method of constructing functions with claimed properties by using the Tychonoff theorem. As an application of this method we show that the Carathéodory...

Józef Banaś, Leszek Olszowy. Source: Annals of Functional Analysis, Volume 10, Number 2, 277--283.Abstract: Our principal aim in this article is to show the equivalence of two concepts used recently in the theory of Banach algebras. The result we present here solves an open problem raised by...

E. R. Aragão-Costa. Source: Annals of Functional Analysis, Volume 10, Number 2, 262--276.Abstract: In this article we give sufficient conditions for the hypoellipticity in the first level of the abstract complex generated by the differential operators $L_{j}=\frac{\partial}{\partial...

Mustapha Raïssouli. Source: Annals of Functional Analysis, Volume 10, Number 2, 252--261.Abstract: Our main goal in this article is to give some functional inequalities involving a (convex) functional and its Fenchel conjugate. As a consequence, we obtain some refinements of the so-called Fenchel...