most citedHigher nonlocal problems with bounded potential

64 citations · 194 across the 7 of their papers we have counts for

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math.AP2016★ 32 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.AP2016★ 27 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.AP2016★ 64 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…

math.AP2016★ 3 cited

Nonlinear Neumann problems driven by a nonhomogeneous differential operator

Giovanni Molica Bisci, Dušan Repovš

We study a nonlinear parametric Neumann problem driven by a nonhomogeneous quasilinear elliptic differential operator , a special case of which i…

math.AP2016★ 34 cited

Nonlinear algebraic systems with discontinuous terms

Giovanni Molica Bisci, Dušan Repovš

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a parametric discrete dif…

math.AP2016★ 34 cited

On sequences of solutions for discrete anisotropic equations

Giovanni Molica Bisci, Dušan Repovš

Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concre…