Oscillation of Semilinear Elliptic Equations with Integrable Coefficients

On the Oscillation of Semilinear Elliptic Differential Equations

Some oscillation criteria for the second order semilinear elliptic differential equation

The Nehari Manifold for a Class of Indefinite Weight Semilinear Elliptic Equations

Oscillation Theory for Semilinear Elliptic Equations with Arbitrary Nonlinearities

Comparison Results for Semilinear Elliptic Equations via Picone-type Identities

By means of a Picone’s type identity, we prove uniqueness and oscillation of solutions to an elliptic semilinear equation with Dirichlet boundary conditions.

Exact Solutions of Completely Integrable Systems and Linear ODE's Having Elliptic Function Coefficients

We present an algorithm for finding closed form solutions in elliptic functions of completely integrable systems. First we solve the linear differential equations in spectral parameter of Hermite-Halphen type. The integrability condition of the pair of equations of HermiteHalphen type gives the large family of completely integrable systems of Lax-Novikov type. This algorithm is implemented on t...