Search results for "Analisi"
showing 10 items of 1536 documents
Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces
2022
We establish some existence and regularity results to the Dirichlet problem, for a class of quasilinear elliptic equations involving a partial differential operator, depending on the gradient of the solution. Our results are formulated in the Orlicz-Sobolev spaces and under general growth conditions on the convection term. The sub- and supersolutions method is a key tool in the proof of the existence results.
On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term
2021
The method of sub and super-solution is applied to obtain existence and location of solutions to a quasilinear elliptic problem with variable exponent and Dirichlet boundary conditions involving a nonlinear term f depending on solution and on its gradient. Under a suitable growth condition on the convection term f, the existence of at least one solution satisfying a priori estimate is obtained.
Location of solutions for quasi-linear elliptic equations with general gradient dependence
2017
Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution. Here we substantially improve the growth condition used in preceding works. The abstract theorem is applied to get a new result for existence of positive solutions with a priori estimates.
Dal disegno alla misura. Ricostruzione del fronte di palazzo Aiutamicristo a Palermo
2020
I laser scanner e la fotogrammetria SfM hanno scardinato il legame tradizionale fra misura e disegno, fissato negli eidotipi che spesso prefiguravano i disegni di restituzione. Il contributo che segue intende dimostrare, attraverso una esemplificazione su un caso studio, che le tecnologie digitali e il lavoro di indagine su repliche del reale, esaltano, attraverso nuovi modi di interazione fra disegno e misura, la possibilità di indagare l’architettura costruita per decodificarne lo schema, il progetto. Il caso studio prescelto è il fronte principale di palazzo Aiutamicristo, costruito a Palermo a partire dal 1490 su progetto di Matteo Carnilivari. Il prospetto di palazzo Aiutamicristo avrà…
ECOPLUS: Ipotesi di sviluppo sostenibile di un territorio
2002
Il progetto di ricerca “Ipotesi di sviluppo sostenibile di un territorio – progetto Eco-Plus “ è stato impostato con un approccio multidisciplinare e multisettoriale. Hanno fatto parte del gruppo di ricerca Architetti, Ingegneri, Economisti, Pianificatori territoriali, Storici dell’Architettura, Paesaggisti. Siamo convinti che un progetto inerente una ipotesi di sviluppo sostenibile di un territorio debba necessariamente studiare, conoscere, approfondire, far risaltare tutte le risorse, tutte le specificità e le pecularietà dello stesso. Occorrono quindi competenze diverse e specifiche ma occorrono anche approcci diversi alle problematiche e alle soluzioni da prospettare. Siamo peraltro con…
Riesz-Fischer Maps, Semi-frames and Frames in Rigged Hilbert Spaces
2021
In this note we present a review, some considerations and new results about maps with values in a distribution space and domain in a σ-finite measure space X. Namely, this is a survey about Bessel maps, frames and bases (in particular Riesz and Gel’fand bases) in a distribution space. In this setting, the Riesz-Fischer maps and semi-frames are defined and new results about them are obtained. Some examples in tempered distributions space are examined.
Comparison results for a linear elliptic equation with mixed boundary conditions
2003
In this paper we study a linear elliptic equation having mixed boundary conditions, defined in a connected open set $\Omega $ of $\mathbb{R}^{n}$. We prove a comparison result with a suitable ``symmetrized'' Dirichlet problem which cannot be uniformly elliptic depending on the regularity of $ \partial \Omega $. Regularity results for non-uniformly elliptic equations are also given.
Monge-Ampere type equations: Comparative results
2003
Summary of the PhD thesis
Riconfigurare i territori metroplitani. Forme di urbanizzazione e fenomeni di pressione insediativa sui sistemi di interesse naturale in Sicilia
2018
The consumption of the soil due to urbanization it is a phenomena already for many years under observations, but of which only the scientific environment has noticed the elevated environmental impact progress. From a disciplinary point of view, is possible to identify a line of research focusing on the analysis and identification of new morphologies of urbanization and on the interaction among different settlement patterns coexisting in a specific context. This reading complements with the scientific production about the forms of settlement pressure on environmental systems, producing change and deterioration on natural ecosystems and loss of biodiversity. A necessary reference for this lin…