This paper describes the N-dimensional vectorial Sturm-Liouville problem with coupled boundary conditions. We first derive the asymptotic expressions of large eigenvalues for the vectorial ...

Two different proofs for an inf-sup type representation formula (minimax formula) of the additive eigenvalues corresponding to first-order Hamilton–Jacobi equations are given for quasiconvex ...

Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...