Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

Assuming only asymptotic conditions on the potential function, we prove the existence of periodic solutions for equations whose nonlinearity stays below the first curve of Fučik's spectrum.

TODD, J. (1) Determinants and Matrices (2) Theory of Equations (3) Integration (4) Vector Methods: Applied to Differential Geometry, Mechanics and Potential Theory (5) Integration of Ordinary ...

We prove that the Riemann zeta-function is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in Γ, Γ′ and Γ″ over the field of complex numbers.