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Indeed, if we use the indicated decoration for this knot, it is straightforward if tedious to verify that there is a unique essential state in dimension 0, and it has filtration

Massoudi and Phuoc 44 proposed that for granular materials the slip velocity is proportional to the stress vector at the wall, that is, u s gT s n x , T s n y , where T s is the

In section 3 all mathematical notations are stated and global in time existence results are established in the two following cases: the confined case with sharp-diffuse

We have formulated and discussed our main results for scalar equations where the solutions remain of a single sign. This restriction has enabled us to achieve sharp results on

This paper is a sequel to [1] where the existence of homoclinic solutions was proved for a family of singular Hamiltonian systems which were subjected to almost periodic forcing...

By using variational methods, the existence of multiple positive solutions and nonexistence results for classical non-homogeneous elliptic equation like (1.5) have been studied, see

For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure.. They can be produced from a metric tensor and a

We prove that for some form of the nonlinear term these simple modes are stable provided that their energy is large enough.. Here stable means orbitally stable as solutions of