1 Contributo su Rivista

1 Contributo su Rivista: [67641] Home page macrotipologia

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1.1 Articoli su Rivista 12221
1.1.1 Articolo su rivista con DOI 18078
1.1.2 Articolo su rivista con ISSN 33407
1.2 Recensione 1758
1.3 Scheda bibliografica 177
1.4 Nota a sentenza 597
1.5 Abstract su Rivista 1221
1.6 Traduzione in Rivista 184

Prodotti recenti

ABP Estimates for Viscosity Solutions of Elliptic Equations with Unbounded Coefficients in Large Domains

In this paper we consider fully nonlinear second-order elliptic partial differential equa- tions, with measurable, possibly singular and unbounded lower order coefficients, in unbounded domains of Rn. We prove the Alexandroff–Bakelman–Pucci maximum principle for Lp − viscosity solutions under suitable assumptions on the geometry f domains, satisfied by a class of very large unbounded domains including the complement of hypersurfaces, such as the cut plane in dimension n = 2 and the closure of...

Invariant cones for cooperative elliptic systems with diffusion and drift couplings

The focus of the present paper is to identify suitable conditions on the structure of a linear elliptic system of second-order differential inequalities in non-divergence form in order to guarantee the existence of invariant sets in the sense of Weinberger for the system itself. Here, we show that, under suitable algebraic conditions on the structure of couplings, the system can be scalarized to a single fully nonlinear differential inequality whose viscosity solutions have the desired order ...

Blow-up solutions for partial Laplace equations with Keller–Osserman condition

We investigate the existence, asymptotic boundary behavior and uniqueness of boundary blow-up viscosity solutions in a bounded domain Ω of partial Laplace equations with a nonlinear zero-order term f(u) of Keller-Osserman type and a non homogeneous term h(x). The main difficulty in the investigation rests on the possibility that the equation is very degenerate elliptic, and h is unbounded as well as sign-changing in Ω. To the best of our knowledge, large solutions to equations involving part...

ABP Estimates for Elliptic PDEs with Drift in Unbounded Domains

In this paper we consider different variants of the ABP estimate in unbounded domains, which is a basic tool to study qualitative properties of solutions of elliptic partial differential equations. We will discuss two kinds of results: one based on the size of drift and geometric properties of domains, and the other one on the direction of drift.

Alexandroff-Bakelman-Pucci estimate and first exit time in cylindrical domains

This paper is concerned with elliptic equations satisfied by the mean first exit time of a stochastic process and higher moments. We prove an estimate for all moments of the first exit time in a cylindrical domain, using viscosity solutions. As a further result, we show the existence and the uniqueness of a more general fully nonlinear Dirichlet problem for partial trace equations, which can be associated to nonlinear diffusion.

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