2 citations · 3 across the 8 of their papers we have counts for
8 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 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…
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…
Quasilinear Dirichlet systems with competing operators and convection
L. Gambera, S. A. Marano, D. Motreanu
In this paper, we consider a quasi-linear Dirichlet system with possible competing -Laplacians and convections. Due to the lack of ellipticity, monotonicity, and variational…
Continuous spectrum for a double-phase unbalanced growth eigenvalue problem
Laura Gambera, Umberto Guarnotta, Nikolaos S. Papageorgiou
We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum deter…
Existence, uniqueness, and decay results for singular -Laplacian systems in
Laura Gambera, Umberto Guarnotta
Existence of solutions to a -Laplacian singular system is obtained via shifting method and variational methods. A priori estimates are furnished through De Giorgi's technique, T…
Strongly singular convective elliptic equations in RN driven by a non-homogeneous operator
Laura Gambera, Umberto Guarnotta
Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the (p,q)-Lapl…