BERNSTEIN ESTIMATES: WEAKLY COUPLED SYSTEMS AND INTEGRAL EQUATIONS

被引：0

作者：

Gomes, Diogo A. ^{[1
]}

Terrone, Gabriele ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 03期

关键词：

Bernstein estimate; systems of fully non-linear elliptic equations; weak coupling; singular integral operators; fractional Laplacian; maximum principles; VISCOSITY SOLUTIONS; MAXIMUM-PRINCIPLES; MONOTONE SYSTEMS; STOPPING PROBLEM;

D O I：

10.3934/cpaa.2012.11.861

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we extend the classical Bernstein estimates for systems of weakly coupled fully non-linear elliptic equations as well as scalar elliptic equations with non-local integral terms and singular kernels.

引用

页码：861 / 883

页数：23

共 50 条

[41] Solution of certain weakly singular integral equations
Chakrabarti, Alok
[J]. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2006, 71 (04): : 534 - 543
[42] Approximate solution to weakly singular integral equations
Shoukralla, ES
[J]. APPLIED MATHEMATICAL MODELLING, 1996, 20 (11) : 800 - 803
[43] NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS
MILLER, RK
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 242 - &
[44] What is the Complexity of Weakly Singular Integral Equations?
Pedas, Arvet
Vainikko, Gennadi
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 704 - 707
[45] Weakly coupled systems of parabolic Hamilton–Jacobi equations with Caputo time derivative
Erwin Topp
Miguel Yangari
[J]. Nonlinear Differential Equations and Applications NoDEA, 2018, 25
[46] Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton–Jacobi equations
Kengo Terai
[J]. Nonlinear Differential Equations and Applications NoDEA, 2019, 26
[47] Blow-up phenomena of semilinear wave equations and their weakly coupled systems
Ikeda, Masahiro
Sobajima, Motohiro
Wakasa, Kyouhei
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (09) : 5165 - 5201
[48] Homogenization of Weakly Coupled Systems of Hamilton–Jacobi Equations with Fast Switching Rates
Hiroyoshi Mitake
Hung V. Tran
[J]. Archive for Rational Mechanics and Analysis, 2014, 211 : 733 - 769
[49] On bound states for systems of weakly coupled Schrodinger equations in one space dimension
Melgaard, M
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (11) : 5365 - 5385
[50] APPLICATIONS OF MEASURE OF NONCOMPACTNESS TO COUPLED FIXED POINTS AND SYSTEMS OF INTEGRAL EQUATIONS
Samadi, A.
[J]. MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 537 - 553

← 1 2 3 4 5 →