Minimizers of functionals of the type w ↦ ∫ Ω [ | D w | p - f w ] d x + ∫ R n ∫ R n | w ( x ) - w (
y ) | γ | x - y | n + s γ d x d y \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

Local behavior of fractional p-minimizers - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …

We study an eigenvalue problem in the framework of double phase variational integrals, and
we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a …

We consider equations involving a combination of local and nonlocal degenerate p-Laplace
operators. The main contribution of the paper is almost Lipschitz regularity for the …

We prove higher Hölder regularity for solutions of equations involving the fractional p-
Laplacian of order s, when p≥ 2 and 0< s< 1. In particular, we provide an explicit Hölder …

A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian - ScienceDirect
Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in …

We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian
operator, extending some results in the literature for the fractional Laplacian. The quasilinear …

By virtue of $\Gamma-$ convergence arguments, we investigate the stability of variational
eigenvalues associated with a given topological index for the fractional $ p $-Laplacian …

We study a class of minimization problems for a nonlocal operator involving an external
magnetic potential. The notions are physically justified and consistent with the case of …

In this work, we study the higher differentiability of solutions to the inhomogeneous fractional
p-Laplace equation under different regularity assumptions on the data. In the superquadratic …