We consider the following stationary Keller-Segel system from chemotaxis

In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. ...

We consider the following singularly perturbed Neumann problem

Using Krasnoselskii's fixed point theorem, functional analysis methods and dichotomy theory, we study the existence and uniqueness of the periodic solutions of integrodifferential equations with bounded and unbounded delays.

We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions of another ...

In this work we study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed ...

We consider the problem of multiplicity and uniqueness of radial solutions of a nonlinear elliptic equation of the form where f is a prescribed function, satisfying appropriate conditions. This paper is a review of recent ...