Oscillation Theory for Semilinear Elliptic Equations with Arbitrary Nonlinearities

Semilinear Elliptic Equations with Generalized Cubic Nonlinearities

A semilinear elliptic equation with generalized cubic nonlinearity is studied. Global bifurcation diagrams and the existence of multiple solutions are obtained and in certain cases, exact multiplicity is proved.

Oscillation of Semilinear Elliptic Equations with Integrable Coefficients

Some oscillation criteria for the second order semilinear elliptic differential equation

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

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.