NONLOCAL NEUMANN BOUNDARY CONDITIONS

被引：0
|
作者：
Lippi, Edoardo Proietti [1 ]
机构：
[1] Univ Perugia, Dipartimento Ingn Civile & Ambientale, Via G Duranti 93, I-06125 Perugia, Italy
来源：
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2023年 / 14卷 / 01期
关键词：
~fractional p-Laplacian; Neumann boundary conditions; regularity; super-linear problems; mixed local and fractional Laplacians; EIGENVALUE; LINKING; CONES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems. When p = 2, we give a generalization of the boundary conditions in which both the nonlocal and the classic Neumann conditions are present, and we consider problems involving both nonlocal and local interactions.
引用
收藏
页码：58 / 76
页数：19
相关论文
共 50 条
  • [1] Nonlocal problems with Neumann boundary conditions
    Dipierro, Serena
    Ros-Oton, Xavier
    Valdinoci, Enrico
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 2017, 33 (02) : 377 - 416
  • [2] On a nonlocal diffusion model with Neumann boundary conditions
    Bogoya, Mauricio
    Gomez S, Cesar A.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (06) : 3198 - 3209
  • [3] NONLOCAL PROBLEMS WITH LOCAL DIRICHLET AND NEUMANN BOUNDARY CONDITIONS
    Aksoylu, Burak
    Celiker, Fatih
    [J]. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2017, 12 (04) : 425 - 437
  • [4] On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
    Barles, Guy
    Georgelin, Christine
    Jakobsen, Espen R.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (04) : 1368 - 1394
  • [5] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
    Chabrowski, J.
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2018, 134 (01): : 303 - 334
  • [6] Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions
    Slepcev, D
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (01) : 79 - 115
  • [7] The fractional p(.,.)-Neumann boundary conditions for the nonlocal p(.,.)-Laplacian operator
    Irzi, Nawal
    Kefi, Khaled
    [J]. APPLICABLE ANALYSIS, 2023, 102 (03) : 839 - 851
  • [8] A nonlocal p-Laplacian evolution equation with Neumann boundary conditions
    Andreu, F.
    Mazon, J. M.
    Rossi, J. D.
    Toledo, J.
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2008, 90 (02): : 201 - 227
  • [9] Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions
    Yang, Fei-Ying
    Li, Wan-Tong
    Ruan, Shigui
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (03) : 2011 - 2051
  • [10] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
    J. Chabrowski
    [J]. Journal d'Analyse Mathématique, 2018, 134 : 303 - 334
12345