We are interested in finding a family of solutions of a singularly perturbed biharmonic equation, which has a concentration behavior. The proof is based on variational methods and uses a weak version of the Ambrosetti-Rabinowitz ...

In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation ...

This paper rst discusses irreducibility of a Painlev e equation P. We explain how the Painlev e property is helpful for the computation of special classical and algebraic solutions. As in a paper of Morales-Ruiz we ...

The aim of this work is to study some aspects of the obstacle problem: existence and uniqueness of a solution using variational inequalities; regularity of the solution using the penalization method; a regularity result ...

En el presente trabajo, se tratan cuestiones tales como el buen planteamiento local en los espacios de Sobolev, espacios anisotrópicos con pesos y la existencia de ondas solitarias para el problema de valor inicial asociado ...