In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Δ1 2u=Δ([Formula presented]). We consider different geometrical ...

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 ...

In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of ...

We study several trace operators and spaces that are related to the bi-Laplacian. They are motivated by the development of ultraweak formulations for the bi-Laplace equation with homogeneous Dirichlet condition, but are ...

In this work we show that the eigenvalues of the Dirichlet problem for the biharmonic operator are generically simple in the set Of Z(2)-symmetric regions of R-n, n >= 2, with a suitable topology. To accomplish this, we ...

Using a particle-based model, we simulate the behavior of a skyrmion under the influence of asymmetric funnel geometries and ac driving at zero temperature. We specifically investigate possibilities for controlling the ...

Um problema com muitas aplicações físicas é estimar os autovalores do operador de Laplace e suas generalizações. Neste trabalho, apresentamos algumas cotas universais para os autovalores dos operadores Laplaciano e ...

El proyecto enmarca en el área del Análisis Armónico, en el estudio de operadores asociados a ecuaciones diferenciales de modelos de evolución continua provenientes de distintas áreas de la ciencia. Particularmente se ...