[图书][B] Nonlocal diffusion and applications

C Bucur, E Valdinoci - 2016 - Springer
The purpose of these pages is to collect a set of notes that are a result of several talks and
minicourses delivered here and there in the world (Milan, Cortona, Pisa, Roma, Santiago del …

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

J Dávila, M Del Pino, S Dipierro, E Valdinoci - Analysis & PDE, 2015 - msp.org
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum Page 1
ANALYSIS & PDE msp Volume 8 No. 5 2015 JUAN DÁVILA, MANUEL DEL PINO, SERENA …

On a fractional Ginzburg–Landau equation and 1/2-harmonic maps into spheres

V Millot, Y Sire - Archive for Rational Mechanics and Analysis, 2015 - Springer
This paper is devoted to the asymptotic analysis of a fractional version of the Ginzburg–
Landau equation in bounded domains, where the Laplacian is replaced by an integro …

Bifurcation results for a fractional elliptic equation with critical exponent in

S Dipierro, M Medina, I Peral, E Valdinoci - manuscripta mathematica, 2017 - Springer
In this paper we study some nonlinear elliptic equations in\mathbb R^ n R n obtained as a
perturbation of the problem with the fractional critical Sobolev exponent, that is (-Δ)^ su= ε …

On the moving plane method for nonlocal problems in bounded domains

B Barrios, L Montoro, B Sciunzi - Journal d'Analyse Mathématique, 2018 - Springer
We consider a nonlocal problem involving the fractional Laplacian and the Hardy potential
in bounded smooth domains. Exploiting the moving plane method and some weak and …

Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions

B Barrios, M Medina - Proceedings of the Royal Society of Edinburgh …, 2020 - cambridge.org
We present some comparison results for solutions to certain non-local elliptic and parabolic
problems that involve the fractional Laplacian operator and mixed boundary conditions …

Nonlocal semilinear elliptic problems with singular nonlinearity

A Youssfi, GOM Mahmoud - Calculus of Variations and Partial Differential …, 2021 - Springer
Nonlocal semilinear elliptic problems with singular nonlinearity | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

A priori bounds and existence of solutions for some nonlocal elliptic problems

B Barrios, LM Del Pezzo, J Garcia-Melian… - Revista matemática …, 2018 - ems.press
In this paper we show existence of solutions for some elliptic problems with nonlocal
diffusion by means of nonvariational tools. Our proof is based on the use of topological …

Crystal dislocations with different orientations and collisions

S Patrizi, E Valdinoci - Archive for Rational Mechanics and Analysis, 2015 - Springer
We study a parabolic differential equation whose solution represents the atom dislocation in
a crystal for a general type of Peierls-Nabarro model with possibly long range interactions …

Relaxation times for atom dislocations in crystals

S Patrizi, E Valdinoci - Calculus of Variations and Partial Differential …, 2016 - Springer
We study the relaxation times for a parabolic differential equation whose solution represents
the atom dislocation in a crystal. The equation that we consider comprises the classical …