7 citations · 12 across the 12 of their papers we have counts for
13 papers · 1 filter
Quasilinear elliptic equations with singular quadratic growth terms
Lucio Boccardo, Tommaso Leonori, Luigi Orsina +1
In this paper we deal with positive solutions for singular quasilinear problems whose model is $$ \begin{cases} -Δu + \frac{|\nabla u|^2}{(1-u)^γ}=g & \mbox{in ,}\newline \hfill…
Mosco-convergence of convex sets and unilateral problems for differential operators with lower order terms having natural growth
Lucio Boccardo, Maria Antonietta Palladino, Marco Picerni
We study the stability of solutions to a class of variational inequalities posed on obstacle-type convex sets, under Mosco-convergence. More precisely, for a fixed obstacle $ψ\in W…
Elliptic problems with superlinear convection terms
L. Boccardo, S. Buccheri, G. R. Cirmi
In this manuscript we deal with elliptic equations with superlinear first order terms in divergence form of the following type \[ -\mbox{div}(M(x)\nabla u)= -\mbox{div}(h(u)E(x))+f…
Failure of the Hopf-Oleinik lemma for a linear elliptic problem with singular convection of non-negative divergence
Lucio Boccardo, David Gómez-Castro, Jesús Ildefonso Díaz
In this paper we study existence, uniqueness, and integrability of solutions to the Dirichlet problem in a bounded dom…
A singular Schrödinger-Maxwell system
Lucio Boccardo, Stefano Buccheri, Carlos Alberto dos Santos
In this paper we are concerned with existence of positive solutions for a Schrödinger-Maxwell system with singular or strongly-singular terms. We overcome the difficulty given by t…
Asymptotic behavior of positive solutions of semilinear elliptic problems with increasing powers
Lucio Boccardo, Liliane Maia, Benedetta Pellacci
We prove existence results of two solutions of the problem \[ \begin{cases} L(u)+u^{m-1}=λu^{p-1} & \text{ in }, \\ \quad u>0 &\text{ in }, \\ \quad u=0 & \text{ on $\partial…