106 citations · 114 across the 4 of their papers we have counts for
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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…
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…