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In this article, we prove the existence of quasi-periodic solutions and the boundedness of all solutions of the p-Laplacian equation (ϕp(x′))′ + aϕp(x+) − bϕp(x−)= g(x,t) + f(t), where g(x,t) and f(t) are quasi-periodic in t with Diophantine frequency. A new method is presented to obtain the...
In this paper, we study unstable topological pressure for C1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover, without any additional assumption, we have established the expected variational principle which connects this unstable topological pressure and the...
A generalized incompressable magnetohydrodynamics system is considered in this paper. Furthermore, results of global well-posednenss are established with the aid of Littlewood-Paley decomposition and Fourier localization method in mentioned system with small initial condition in the variable...
The Merrifield-Simmons index σ is the total number of independent vertex sets (including the empty set) of the graph G. The Wiener index W is the sum of distances in all unordered pairs of vertices of G. We construct some new graphs satisfying σ > W and W > σ, respectively. In particular,...
In this article, we introduce the notion of general multiresolution structure (GMS) in the reducing subspace over local fields. We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those GMSs which admit a pyramids decomposition. Towards the culmination, we...
In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the φ-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces...
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