On bi-nonlocal problem for elliptic equations with Neumann boundary conditions

被引:0
|
作者
J. Chabrowski
机构
[1] University of Queensland,Department of Mathematics
来源
关键词
D O I
暂无
中图分类号
学科分类号
摘要
We prove the existence of positive solutions for a nonlocal problem (1.2) with Neumann boundary conditions. We distinguish two cases: 2 < p < 2* (subcritical) and p = 2* (critical). The existence of solutions is established by variational methods.
引用
收藏
页码:303 / 334
页数:31
相关论文
共 50 条
  • [1] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
    Chabrowski, J.
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2018, 134 (01): : 303 - 334
  • [2] Multiple Solutions for a Class of Bi-nonlocal Problems with Nonlinear Neumann Boundary Conditions
    Afrouzi, Ghasem A.
    Naghizadeh, Z.
    Chung, N. T.
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [3] 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
  • [4] Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions
    Mays, L
    Norbury, J
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (05) : 461 - 470
  • [5] Signed and sign-changing solutions of bi-nonlocal fourth order elliptic problem
    Mao, Anmin
    Wang, Wenqing
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (05)
  • [6] APPROXIMATE SOLUTION FOR AN INVERSE PROBLEM OF MULTIDIMENSIONAL ELLIPTIC EQUATION WITH MULTIPOINT NONLOCAL AND NEUMANN BOUNDARY CONDITIONS
    Ashyralyyev, Charyyar
    Akyuz, Gulzipa
    Dedeturk, Mutlu
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [7] NONLOCAL NEUMANN BOUNDARY CONDITIONS
    Lippi, Edoardo Proietti
    [J]. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2023, 14 (01) : 58 - 76
  • [8] ON THE NUMERICAL SOLUTION OF AN ELLIPTIC PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS
    Jeknic, Zorica Milovanovic
    Sredojevic, Bratislav
    Bojovic, Dejan
    [J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2023, 59 : 179 - 201
  • [9] NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION
    DENG YINBING
    WANG XUJIA
    WU SHAOPING(Department of Mathematics
    [J]. Chinese Annals of Mathematics, 1994, (03) : 299 - 310
  • [10] On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
    Ghizlane Zineddaine
    Abdelaziz Sabiry
    Said Melliani
    Abderrazak Kassidi
    [J]. Journal of Elliptic and Parabolic Equations, 2024, 10 : 19 - 38