The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
A variational approach to chaotic dynamics in periodically forced nonlinear oscillators
Critical nonlinear elliptic equations with singularities and cylindrical symmetry
Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of RN. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.
On the existence of homoclinic solutions for almost periodic second order systems
Density of chaotic dynamics in periodically forced pendulum-type equations
We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
Some properties of collision and non-collision orbits for a class of singular dynamical systems
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
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