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

     

Precise asymptotic behavior of solutions of the sublinear Emden-Fowler differential equation

The aim of this paper is to show that if the sublinear Emden-Fowler differential equation

(A)     

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

     

Asymptotic behaviour of the Kazdan-Warner solution in the annulus

In this paper, we study the asymptotic behaviour as p→∞ of the radial solution of the problem

     

Large number of fast decay ground states to Matukuma-type equations

In this article we consider the Matukuma type 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 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:

     

Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities

Let us consider the problem

(0.1)     

Nodal solutions for an elliptic problem involving large nonlinearities

Let us consider the problem

(0.1)     

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 of positive solutions of superlinear second-order Neumann boundary value problem

In this paper, we consider the Neumann boundary value problem

     

Radial solutions of an elliptic equation with singular nonlinearity

For the equation

     

Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth

We establish the existence of at least three solutions in the presence of two lower and two upper solutions of some second order nonlinear three point boundary value problem of the type

     

Uniqueness of positive solutions for semilinear elliptic systems

We prove uniqueness of positive solutions for the system

     

Existence for nonoscillatory solutions of second-order nonlinear differential equations

In this paper, the existence of nonoscillatory solutions of the second-order nonlinear neutral differential equation

     

Finite order solutions of linear differential equations in the unit disc

Necessary and sufficient conditions for the analytic coefficients of the complex linear differential equation

(†)     

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

     

Existence of periodic solutions for second-order differential equations with singularities and the strong force condition

We prove the existence of periodic solutions for the equation

(1)