8 citations · 8 across the 3 of their papers we have counts for
3 papers
Ljusternik-Schnirelmann eigenvalues for the fractional Laplacian without the condition
Julian Fernandez Bonder, Juan F. Spedaletti
In this work we analyze the eigenvalue problem associated to the fractional Laplacian, defined as $$ (-Δ_m)^s u(x):=2\text{p.v.}\int_{{\mathbb R}^n} m\left(\frac{|u(x)-u(y)|}{|…
Uniqueness of minimal energy solutions for a semilinear problem involving the fractional laplacian
Julian Fernandez Bonder, Analia Silva, Juan Spedaletti
In this paper we study a semilinear problem for the fractional laplacian that are the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal en…
An optimization problem for the first eigenvalue of the fractional laplacian
L. Del Pezzo, J. Fernandez Bonder, L. Lopez-Rios
In this paper we analyze an eigenvalue problem related to the nonlocal laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of…