In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.

Though numerous new clustering algorithms are proposed every year, the fundamental question of the proper way to evaluate new clustering algorithms has not been satisfactorily answered. Common procedures of evaluating a clustering result have several drawbacks. Here, we propose a system that could represent a step forward in addressing open issues (though not resolving all open issues) by bridg...

A novel framework for single and multiple motion estimation is presented. It is based on a generalized structure tensor that contains blurred products of directional derivatives. The order of differentiation increases with the number of motions but more general linear filters can be used instead of derivatives. From the general framework, a hierarchical algorithm for motion estimation is derive...

In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.