Results 21 to 30 of about 440 (53)

Singular measure as principal eigenfunction of some nonlocal operators

, 2013
In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
core   +1 more source

Existence Results for a critical fractional equation

, 2016
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica, Hajaiej, Hichem, Vilasi, Luca   +2 more
core   +1 more source

Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited [PDF]

, 2008
The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity.
Alvarez, Arisawa, Arisawa, Barles, Bensaoud, Bertoin, Crandall, Cyril Imbert, Garroni, Guy Barles, Imbert, Ishii, Jakobsen, Jensen, Pham, Sayah, Silvestre, Soner, Woyczyński, Øksendal   +19 more
core   +4 more sources

On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]

, 2005
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Bezzarga, Mounir, Kefi, Khaled
core  

Transference of fractional Laplacian regularity

, 2014
In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$.
J.E. Galé, L. Caffarelli, L. Silvestre, N.N. Lebedev, P.R. Stinga   +4 more
core   +1 more source

Nonlinear Dirichlet problem for the nonlocal anisotropic operator $L_K$ [PDF]

, 2018
In this paper we study an equation driven by a nonlocal anisotropic operator with homogeneous Dirichlet boundary conditions. We find at least three non trivial solutions: one positive, one negative and one of unknown sign, using variational methods and ...
Frassu, Silvia
core   +2 more sources

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada, Salim Abdelkrim, Benchohra Mouffak   +2 more
doaj   +1 more source

Sequences of weak solutions for fractional equations [PDF]

, 2013
This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
core  

Adaptation and migration of a population between patches

, 2012
A Hamilton-Jacobi formulation has been established previously for phenotypically structured population models where the solution concentrates as Dirac masses in the limit of small diffusion. Is it possible to extend this approach to spatial models?
Mirrahimi, Sepideh
core   +4 more sources