3 papers
math.AP2022
A jumping problem for quasilinear elliptic equations with right hand side measure
Michele Colturato, Marco Degiovanni
We consider a quasilinear elliptic equation with right hand side measure, in which the lower order term has a behavior of jumping type. By means of techniques of degree theory, we…
math.AP2019
Optimization results for the higher eigenvalues of the -Laplacian associated with sign-changing capacitary measures
Marco Degiovanni, Dario Mazzoleni
In this paper we prove the existence of an optimal set for the minimization of the -th variational eigenvalue of the -Laplacian among -quasi open sets of fixed measure inc…
math.AP2018
Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift
Marco Degiovanni, Marco Marzocchi
We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic eq…