14 citations · 31 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Nontrivial solutions of quasilinear elliptic equations with natural growth term
Marco Degiovanni, Alessandra Pluda
We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To t…
Amann-Zehnder type results for p-Laplace problems
Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella
The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related t…
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
Michele Colturato, Marco Degiovanni
We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the F…
On the dependence on p of the variational eigenvalues of the p-Laplace operator
Marco Degiovanni, Marco Marzocchi
We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary pro…