We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric ...

In this work we prove the existence of nontrivial bounded variation solutions to quasilinear elliptic problems involving a weighted 1-Laplacian operator. A key feature of these problems is that weights are unbounded. One ...

We build an unbounded sequence of nonradial solutions for

En este trabajo se estudiarán ecuaciones cuasilineales asociadas al p-laplaciano con pesos singulares en el origen. Este estudio generará resultados de existencia y multiplicidad de soluciones. Para esto consideraremos no ...

In this paper, we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of ...