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

被引：7

作者：

Chabrowski, J. ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2018年 / 134卷 / 01期

关键词：

CRITICAL SOBOLEV EXPONENTS; KIRCHHOFF-TYPE; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1007/s11854-018-0011-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

页码：303 / 334

页数：32

共 50 条

[1] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
J. Chabrowski
[J]. Journal d'Analyse Mathématique, 2018, 134 : 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] ON THE NUMERICAL SOLUTION OF AN ELLIPTIC PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS
Faculty of Construction Management, University Union-Nikola Tesla, Cara Dusana 62-64, Belgrade
11000, Serbia
不详
36000, Serbia
不详
34000, Serbia
[J]. Electron. Trans. Numer. Anal., 1600, (179-201):
[10] 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

← 1 2 3 4 5 →