We study the asymptotic behavior of solutions to various Dirichlet sublinear-type problems
involving the fractional Laplacian when the fractional parameter s tends to zero. Depending …

We analyze the searching strategies of a forager diffusing in the whole space via an
equation of fractional type. Specifically, the diffusion of the forager is regulated by a Lévy …

In this note, we deal with the fractional logarithmic Schrödinger operator\((I+(-\Delta)^
s)^{\log}\) and the corresponding energy spaces for variational study. The fractional …

We present the numerical analysis of a finite element method (FEM) for one-dimensional
Dirichlet problems involving the logarithmic Laplacian (the pseudo-differential operator that …

In this paper, we study the radial symmetry and monotonicity of nonnegative solutions to
nonlinear equations involving the logarithmic Schrödinger operator (ℐ− Δ) log …

We provide bounds for the sequence of eigenvalues {λ i (Ω)} i of the Dirichlet problem (I− Δ)
ln u= λ u in Ω, u= 0 in RN\Ω, where (I− Δ) ln is the Klein-Gordon operator with Fourier …

We prove antisymmetric maximum principles and Hopf-type lemmas for linear problems
described by the Logarithmic Laplacian. As application, we prove the symmetry of solutions …

In the present manuscript, we determine the critical condition for the nonlinearity in a
semilinear wave equation with a derivative-type nonlinearity. More precisely, we consider a …

In this paper, we classify the solutions of the critical semilinear problem involving the
logarithmic Laplacian $$(E)\qquad\qquad\qquad\qquad\qquad\mathcal {L} _\Delta u= ku\log …

We study the optimal boundary regularity of solutions to Dirichlet problems involving the
logarithmic Laplacian. Our proofs are based on the construction of suitable barriers via the …