106 citations · 194 across the 14 of their papers we have counts for
14 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 $$ \begin{cases} -Δu + \frac{|\nabla u|^2}{(1-u)^γ}=g & \mbox{in ,}\newline \hfill…
Existence and nonexistence of solutions for singular quadratic quasilinear equations
David Arcoya, José Carmona, Tommaso Leonori +3
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradi…
An Agmon-Allegretto-Piepenbrink principle for Schroedinger operators
Stefano Buccheri, Luigi Orsina, Augusto C. Ponce
We prove that each Borel function defined on an open subset induces a decomposition such that…
On the nonexistence of Green's function and failure of the strong maximum principle
Luigi Orsina, Augusto C. Ponce
Given any Borel function on a smooth bounded domain , we establish that the strong maximum principle for the Schrödinger operator $…
Hopf potentials for the Schrödinger operator
Luigi Orsina, Augusto C. Ponce
We establish the Hopf boundary point lemma for the Schrödinger operator involving potentials that merely belong to the space . More precisely, we prove…
The role of interplay between coefficients in the -convergence of some elliptic equations
Lucio Boccardo, Luigi Orsina, Augusto C. Ponce
We study the behavior of the solutions of the linear Dirichlet problems with respect to perturbations of the matrix (wit…
Existence of solutions for degenerate parabolic equations with singular terms
Andrea Dall'Aglio, Luigi Orsina, Francesco Petitta
In this paper we deal with parabolic problems whose simplest model is $$ \begin{cases} u'- Δ_{p} u + B\frac{|\nabla u|^p}{u} = 0 & \text{in} (0,T) \times Ω,\newline u(0,x)= u_0 (x)…
A Lazer-McKenna type problem with measures
Luigi Orsina, Francesco Petitta
In this paper we are concerned with a general singular Dirichlet boundary value problem whose model is the following $$ \begin{cases} -Δu = \fracμ{u^γ} & \text{in}\ Ω, u=0 &\text{o…
Strong maximum principle for Schrödinger operators with singular potential
Luigi Orsina, Augusto C. Ponce
We prove that for every and for every potential , any nonnegative function satisfying in an open connected set of is either iden…
Flat solutions of the 1-Laplacian equation
Luigi Orsina, Augusto C. Ponce
For every defined in an open bounded subset of , we prove that a solution of the -Laplacian equation ${-}\mathrm{div}{(\fr…
A semilinear problem with a W^{1,1}_0 solution
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional solution.
Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a W^{1,1}_0 solution which is distributional or entropic, according…
W^{1,1}_0 minima of non coercive functionals
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study an integral non coercive functional defined on H^1_0, proving the existence of a minimum in W^{1,1}_0.
A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summabilit…