most citedHigher nonlocal problems with bounded potential

64 citations · 196 across the 10 of their papers we have counts for

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10 papers

math.AP20231 cited

On nonlocal Dirichlet problems with oscillating term

Boštjan Gabrovšek, Giovanni Molica Bisci, Dušan D. Repovš

In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. M…

math.AP20231 cited

Subcritical nonlocal problems with mixed boundary conditions

Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi

In this paper, by variational and topological arguments based on linking and -theorems, we prove the existence of multiple solutions for the following nonlocal problem with…

math.AP2023

A note on the NLS equation on Cartan-Hadamard manifolds with unbounded and vanishing potentials

Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi

We study the semilinear equation on a Cartan-Hadamard manifold of dimension , and we prove the existence of a nontrivial solution unde…

math.AP201632 cited

Existence of solutions for -Laplacian discrete equations

Giovanni Molica Bisci, Dušan Repovš

This work is devoted to the study of the existence of at least one (non-zero) solution to a problem involving the discrete -Laplacian. As a special case, we derive an existence…

math.AP201627 cited

On doubly nonlocal fractional elliptic equations

Giovanni Molica Bisci, Dušan Repovš

This work is devoted to the study of the existence of solutions to nonlocal equations involving the fractional Laplacian. These equations have a variational structure and we find a…

math.AP201664 cited

Higher nonlocal problems with bounded potential

Giovanni Molica Bisci, Dušan Repovš

The aim of this paper is to study a class of nonlocal fractional Laplacian equations depending on two real parameters. More precisely, by using an appropriate analytical context on…