We obtain explicit formulas for the eigenvalues of integral operators generated by continuous dot product kernels defined on the sphere via the usual gamma function. Using them, we present both, a procedure to describe ...

In this note we analyze how perturbations of a ball Br ⊂ Rn behaves in terms of their first (non-trivial) Neumann and Dirichlet ∞−eigenvalues when a volume constraint Ln(Ω) = Ln(Br) is imposed. Our main result states that ...

We consider the approximation of eigenvalue problem for the Laplacian by the Crouzeix– Raviart non-conforming finite elements in two and three dimensions. Extending known techniques for source problems, we introduce a ...

In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates ...

In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming ...

In this paper we study the asymptotic behavior of eigenvalues of the weighted one dimensional p Laplace operator, by using the Prufer transformation. We found the order of growth of the kth eigenvalue, improving the remainder ...