Search Results - "Boccardo, Lucio"

The impact of the zero order term in the study of Dirichlet problems with convection or drift terms by Boccardo, Lucio

“…In this paper we study the impact of the zero order term in the study of Dirichlet problems with convection or drift terms…”
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A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model by Boccardo, Lucio

“…In this paper, we prove existence of distributional solutions of a nonlinear elliptic system, related to the Keller-Segel model. Our starting point is the…”
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Weak maximum principle for Dirichlet problems with convection or drift terms by Boccardo, Lucio

“…In this paper, dedicated to Italo Capuzzo Dolcetta, a maximum principle for some linear boundary value problems with lower order terms of order one is proved:…”
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A nonlinear elliptic system with a transport term and singular data by Boccardo, Lucio, Tello, J. Ignacio

“…In this article, we study a nonlinear system of elliptic partial differential equations describing the interaction of two species, “ u ” and “ ψ ” in a bounded…”
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Lower order terms in divergence form versus lower order terms with natural growth in some Dirichlet problems by Boccardo, Lucio, Polito, Andrea

“…We study the existence of solutions for some nonlinear elliptic boundary value problems, whose general form is: - div ( M ( x ) ∇ u ) + g ( u ) | ∇ u | 2 = -…”
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A Singular System of Schrödinger-Maxwell Equations by Boccardo, Lucio, Orsina, Luigi

“…We study existence of solutions for the singular system of Schrödinger-Maxwell equations u ∈ W 0 1 , 2 ( Ω ) : - div ( A ( x ) ∇ u ) + ψ θ u r - 1 = f ( x ) ,…”
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Asymptotic behavior of solutions for nonlinear parabolic problems with Marcinkiewicz data by Boccardo, Lucio, Orsina, Luigi, Porzio, Maria Michaela

“…In this paper we prove the asymptotic behavior, as t tends to zero, of solutions of nonlinear parabolic equations with initial data belonging to Marcinkiewicz…”
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Regularizing effect in some Mingione’s double phase problems with very singular data by Boccardo, Lucio, Cirmi, Giuseppa Rita

“…In this paper we study the existence of solutions of the Dirichlet problem associated to the following nonlinear PDE <disp-formula> <tex-math id="FE1">…”
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Regularizing effect of the interplay between coefficients in some nonlinear Dirichlet problems with distributional data by Arcoya, David, Boccardo, Lucio, Orsina, Luigi

“…We prove that the solution u of Dirichlet problem ( 1.1 ) has exponential summability under the only assumption that there exists R > 0 such that | F ( x ) | 2…”
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A nonlinear homotopy between two linear Dirichlet problems by Boccardo, Lucio, Buccheri, Stefano

“…In this paper we focus on the following problem with nonlinear convection term - div ( M ( x ) ∇ u ) = - div ( u | u | θ - 1 E ( x ) ) + f ( x ) in Ω , u ( x )…”
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Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations by Arcoya David, Boccardo Lucio

“…We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet…”
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Nonlinear weighted elliptic equations with Sobolev weights by Boccardo, Lucio, Imparato, Pasquale, Orsina, Luigi

“…In this paper we are going to prove existence of solutions in W 0 1 , p ( Ω ) for the weighted elliptic equation - div ( s ( x ) | ∇ u | p - 2 ∇ u ) = f ( x )…”
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Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms by Boccardo Lucio, Orsina Luigi

“…In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower…”
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Regularity results and asymptotic behavior for a noncoercive parabolic problem by Boccardo, Lucio, Orsina, Luigi, Porzio, Maria Michaela

“…In this paper we study the regularity and the behavior in time of the solutions to a quasilinear class of noncoercive problems whose prototype is u t - div ( a…”
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Existence Results for a System of Kirchhoff–Schrödinger–Maxwell Equations by Boccardo, Lucio, Orsina, Luigi

“…In this paper, we study existence, nonexistence, and properties of solutions for some Kirchhoff–Schrödinger–Maxwell systems as ( 1.3 ). The solutions can be…”
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Failure of the Hopf-Oleinik lemma for a linear elliptic problem with singular convection of non-negative divergence by Boccardo, Lucio, Diaz, Jesus Ildefonso, Gomez-Castro, David

“…In this article we study the existence, uniqueness, and integrability of solutions to the Dirichlet problem \(-\hbox{div}( M(x) \nabla u ) = -\hbox{div} (E(x)…”
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Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data by Boccardo, Lucio

“…The method introduced by Ennio De Giorgi and Guido Stampacchia for the study of the regularity ( L p , Marcinkiewicz or C 0, α ) of the weak solutions of…”
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Hardy potential versus lower order terms in Dirichlet problems: regularizing effects by Arcoya, David, Boccardo, Lucio, Orsina, Luigi

“…In this paper, dedicated to Ireneo Peral, we study the regularizing effect of some lower order terms in Dirichlet problems despite the presence of Hardy…”
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Ekeland sequences compact in L by Lucio Boccardo

“…In this paper we use Ekeland's ε-variational principle and we prove that, for some integral functionals, there exists a minimizing sequence compact in L∞…”
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Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations by Boccardo Lucio, Orsina Luigi

“…The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such as…”
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