arXiv subjects
Publications and source records attributed to Gioconda Moscariello.
We consider a Cauchy Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite time horizon.
We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.
We study some Dirichlet problem for a $p$--Laplacian type operator in the setting of Orlicz--Zygmund space $L^q\log^{-α}L(Ω,\mathbb R^N)$, $q >1$ and $α>0$. More precisely, our aim is to establish which assuptions on the parameter $α>0$ lead to existence, uniqueness of the solution and continuity of the associated nonlinear operator.