We develop a systematic study of the superpositions of elliptic operators with different
orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of …

We consider the following nonlinear Choquard equation with Dirichlet boundary condition−
Δ u=(∫ Ω| u| 2 μ⁎| x− y| μ dy)| u| 2 μ⁎− 2 u+ λ f (u) in Ω, where Ω is a smooth bounded …

We consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator
and we establish a quantitative Faber-Krahn inequality. More precisely, we show that balls …

In this paper, we investigate the existence of solutions for critical Schrödinger–Kirchhoff type
systems driven by nonlocal integro–differential operators. As a particular case, we consider …

This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–
Kirchhoff systems driven by the fractional p-Laplacian operator. Existence is derived as an …

In this paper we extend the well-known concentration-compactness principle for the
Fractional Laplacian operator in unbounded domains. As an application we show sufficient …

We are concerned with hypersurfaces of ℝ N with constant nonlocal (or fractional) mean
curvature. This is the equation associated to critical points of the fractional perimeter under a …

ON THE MIXED LOCAL–NONLOCAL HÉNON EQUATION 1. Introduction Given β ∈ [0,1], a
fractional parameter s ∈ (0,1) and p > Page 1 Differential and Integral Equations Volume 35 …

In this paper, we deal with the multiplicity and concentration of positive solutions for the
following fractional Schrödinger‐Kirchhoff type equation where ε> 0 is a small parameter, is …

In this paper, we study a class of the fractional Schrödinger equations involving logarithmic
and critical nonlinearities. By using the Nehari manifold method and the concentration …