4 papers
On a fractional -Laplacian problem in the whole space and with singular reaction
Laura Gambera, Salvatore A. Marano
The existence of positive, pointwise decaying at infinity, weak solutions to a fractional -Laplacian problem in the whole space and with singular reaction is established. Trunca…
On Bobkov-Tanaka type spectrum for the double-phase operator
Laura Gambera, Umberto Guarnotta
Moving from the seminal papers by Bobkov and Tanaka \cite{BT,BT2,BT3} on the spectrum of the -Laplacian, we analyze the case of the double-phase operator. We discuss the reg…
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator
Nirjan Biswas, Laura Gambera, Umberto Guarnotta
The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight driving the double-p…
Fractional Dirichlet problems with singular and non-locally convective reaction
Laura Gambera, Salvatore A. Marano
In this paper, the existence of positive weak solutions to a Dirichlet problem driven by the fractional -Laplacian and with reaction both weakly singular and non-locally con…