[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 …
minicourses delivered here and there in the world (Milan, Cortona, Pisa, Roma, Santiago del …
A critical Kirchhoff type problem involving a nonlocal operator
A Fiscella, E Valdinoci - Nonlinear Analysis: Theory, Methods & …, 2014 - Elsevier
In this paper we show the existence of non-negative solutions for a Kirchhoff type problem
driven by a nonlocal integrodifferential operator, that is− M (‖ u‖ Z 2) LK u= λ f (x, u)+| u …
driven by a nonlocal integrodifferential operator, that is− M (‖ u‖ Z 2) LK u= λ f (x, u)+| u …
Isoperimetry and stability properties of balls with respect to nonlocal energies
We obtain a sharp quantitative isoperimetric inequality for nonlocal s-perimeters, uniform
with respect to s bounded away from 0. This allows us to address local and global minimality …
with respect to s bounded away from 0. This allows us to address local and global minimality …
[图书][B] Stable solutions of elliptic partial differential equations
L Dupaigne - 2011 - books.google.com
Stable solutions are ubiquitous in differential equations. They represent meaningful
solutions from a physical point of view and appear in many applications, including …
solutions from a physical point of view and appear in many applications, including …
[HTML][HTML] Existence of solutions for Kirchhoff type problem involving the non-local fractional p-Laplacian
M Xiang, B Zhang, M Ferrara - Journal of Mathematical Analysis and …, 2015 - Elsevier
The purpose of this paper is to investigate the existence of weak solutions for a Kirchhoff
type problem driven by a non-local integro-differential operator of elliptic type with …
type problem driven by a non-local integro-differential operator of elliptic type with …
The fractional Cheeger problem
The fractional Cheeger problem Page 1 Interfaces and Free Boundaries 16 (2014), 419–458
DOI 10.4171/IFB/325 The fractional Cheeger problem L. BRASCO Aix-Marseille Université …
DOI 10.4171/IFB/325 The fractional Cheeger problem L. BRASCO Aix-Marseille Université …
Stability of variational eigenvalues for the fractional p-Laplacian
By virtue of $\Gamma-$ convergence arguments, we investigate the stability of variational
eigenvalues associated with a given topological index for the fractional $ p $-Laplacian …
eigenvalues associated with a given topological index for the fractional $ p $-Laplacian …
Local and global minimizers for a variational energy involving a fractional norm
G Palatucci, O Savin, E Valdinoci - Annali di matematica pura ed applicata, 2013 - Springer
We study existence, uniqueness, and other geometric properties of the minimizers of the
energy functional ‖ u ‖^ 2_ H^ s (Ω)+ ∫\limits_ Ω W (u) dx, where ‖ u ‖ _ H^ s (Ω) …
energy functional ‖ u ‖^ 2_ H^ s (Ω)+ ∫\limits_ Ω W (u) dx, where ‖ u ‖ _ H^ s (Ω) …
Γ-convergence for nonlocal phase transitions
O Savin, E Valdinoci - Annales de l'Institut Henri Poincaré C, Analyse non …, 2012 - Elsevier
We discuss the Γ-convergence, under the appropriate scaling, of the energy functional with
s∈(0, 1), where [Formula: see text] denotes the total contribution from Ω in the Hs norm of u …
s∈(0, 1), where [Formula: see text] denotes the total contribution from Ω in the Hs norm of u …
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
BB Barrera, A Figalli, E Valdinoci - arXiv preprint arXiv:1202.4606, 2012 - arxiv.org
arXiv:1202.4606v2 [math.AP] 4 Jun 2018 Page 1 arXiv:1202.4606v2 [math.AP] 4 Jun 2018
BOOTSTRAP REGULARITY FOR INTEGRO-DIFFERENTIAL OPERATORS AND ITS …
BOOTSTRAP REGULARITY FOR INTEGRO-DIFFERENTIAL OPERATORS AND ITS …