On a class of nonlinear elliptic equations with fast increasing weight and critical growth

We are concerned with the existence of rapidly decaying solutions for the equation

     

Bounded and almost periodic solutions of convex Lagrangian systems

We study some properties of bounded and almost periodic solutions of convex Lagrangian systems in the presence of almost periodic forcing

     

Radial solutions of an elliptic equation with singular nonlinearity

For the equation

     

Global existence and blow-up problems for reaction diffusion model with multiple nonlinearities

In this paper, we study the following reaction diffusion model,

     

Existence for nonoscillatory solutions of higher-order nonlinear neutral difference equations

In this paper, we consider the following forced higher-order nonlinear neutral difference equation

     

Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms

In this paper we consider the existence of a local solution in time to a weakly damped wave equation of Kirchhoff type with the damping term and the source term:

     

Uniqueness of positive solutions for semilinear elliptic systems

We prove uniqueness of positive solutions for the system

     

On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results

The main purpose of this paper is to study the existence of single-peaked positive solutions of the singularly perturbed elliptic equation

     

On the oscillations of the solution curve for a class of semilinear equations

We consider positive solutions of the Dirichlet problem