Alberto Ferrero

Second order quasilinear elliptic equations

  My study on quasilinear elliptic problems was mainly focused on equations with the p-Laplace operator. I studied both equations on bounded domains with suitable boundary conditions and on the whole euclidean space. Paper [1] was devoted to existence of entire solutions for a class of quasilinear equations with the p-Laplace operator and a nonlinear source. In paper [2] qualitative behavior of solutions for a particular class of subcritical equations with a power-type nonlinearity is studied. The other two papers [3] and [4] are devotes respectevely to the study of a Dirichlet problem and a Neumann problem. In both equations power-type nonlinearities are considered.