Fractional eigenvalue problems on R N

SECOND-ORDER n-POINT EIGENVALUE PROBLEMS ON TIME SCALES

Weyl-type laws for fractional p-eigenvalue problems

We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.

Invariant Geodetic Problems on the Projective Group Pr ( n , R )

The concept of the metrically-rigid body have played a very important role in the theoretical and applied mechanics (see e.g. [1]), mainly because our macroscopic environment is dominated by objects which are approximately rigid. But what would happen if we went forward and got rid of the metrical properties keeping the concept of rigidness? Such problems in the application to the theory of con...

EIGENVALUE CHARACTERIZATION FOR (n; p) BOUNDARY-VALUE PROBLEMS

We consider the .n; p/ boundary value problem y C 1⁄2H .t; y/ D 1⁄2K .t; y/; n 1⁄2 2; t 2 .0; 1/; y.1/ D y.0/ D 0; 0 i n 2; where 1⁄2 > 0 and 0 p n 1 is fixed. We characterize the values of 1⁄2 such that the boundary value problem has a positive solution. For the special case 1⁄2 D 1, we also offer sufficient conditions for the existence of positive solutions of the boundary value problem.

A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.