106 citations · 620 across the 36 of their papers we have counts for
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Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and terms
Francesco Balducci, Francescantonio Oliva, Francesco Petitta
In this paper we deal with the following boundary value problem \begin{equation*} \begin{cases} -Δ_{p}u + g(u) | \nabla u|^{p} = h(u)f & \text{in ,} \newline u\geq 0 & \text{in…
The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation
Francescantonio Oliva, Francesco Petitta, Sergio Segura de León
In this paper we study existence and uniqueness of solutions to Dirichlet problems as $$ \begin{cases} g(u) -{\rm div}\left(\frac{D u}{\sqrt{1+|D u|^2}}\right) = f & \text{in}\;Ω,\…
Bounded solutions for non-parametric mean curvature problems with nonlinear terms
Daniela Giachetti, Francescantonio Oliva, Francesco Petitta
In this paper we prove existence of nonnegative bounded solutions for the non-autonomous prescribed mean curvature problem in non-parametric form on an open bounded domain of $…