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 ...

An innovative numerical method based on an artificial neural network is presented in order to solve an inverse problem associated with the calculation of the Dirichlet eigenvalues of the anisotropic Laplace operator. Using ...

In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues ...

In this paper we give new bounds for the period of solutions to certain Hamiltonian system involving a function ϕϕ. We also obtain upper and lower bounds which are uniform with respect to the function ϕϕ. Furthermore, the ...

In this paper we give new bounds for the period of solutions to certain Hamiltonian system involving a function phi. We also obtain upper and lower bounds which are uniform with respect to the function . Furthermore, the ...

In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on these quantities and their corresponding eigenfunctions.

Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant ...

In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplaciantype operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist ...

We provide explicit formulae for the first eigenvalue of the Laplace--Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequences, we prove that homogeneous metrics ...