64 citations · 357 across the 31 of their papers we have counts for
19 papers · 1 filter
Nontrivial solutions of superlinear nonlocal problems
Giovanni Molica Bisci, Dušan Repovš, Raffaella Servadei
We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence o…
Periodic solutions for a fractional asymptotically linear problem
Vincenzo Ambrosio, Giovanni Molica Bisci
We study the existence and multiplicity of periodic weak solutions for a non-local equation involving an odd subcritical nonlinearity which is asymptotically linear at infinity. We…
Nonlinear equations involving the square root of the Laplacian
Vincenzo Ambrosio, Giovanni Molica Bisci, Dušan D. Repovš
In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian in a smooth bound…
On some variational algebraic problems
Giovanni Molica Bisci, Dušan D. Repovš
In this paper by exploiting critical point theory, the existence of two distinct nontrivial solutions for a nonlinear algebraic system with a parameter is established. Our goal is…
Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations
Vincenzo Ambrosio, Giovany M. Figueiredo, Teresa Isernia +1
We consider the following class of fractional Schrödinger equations $$ (-Δ)^α u + V(x)u = K(x) f(u) \mbox{in} \mathbb{R}^{N} $$ where , , is the fractio…
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…