Bernstein estimates: Weakly coupled systems and integral equations

Diogo A. Gomes; Gabriele Terrone

doi:10.3934/cpaa.2012.11.861

Bernstein estimates: Weakly coupled systems and integral equations

Diogo A. Gomes^*, Gabriele Terrone

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	861-868
Number of pages	8
Journal	Communications on Pure and Applied Analysis
Volume	11
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2012.11.861
State	Published - May 2012
Externally published	Yes

Keywords

Bernstein estimate
Fractional laplacian
Maximum principles
Singular integral operators
Systems of fully non-linear elliptic equations
Weak coupling

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2012.11.861

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title = "Bernstein estimates: Weakly coupled systems and integral equations",

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

keywords = "Bernstein estimate, Fractional laplacian, Maximum principles, Singular integral operators, Systems of fully non-linear elliptic equations, Weak coupling",

author = "Gomes, {Diogo A.} and Gabriele Terrone",

year = "2012",

month = may,

doi = "10.3934/cpaa.2012.11.861",

language = "English (US)",

volume = "11",

pages = "861--868",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

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T1 - Bernstein estimates

T2 - Weakly coupled systems and integral equations

AU - Gomes, Diogo A.

AU - Terrone, Gabriele

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N2 - In this paper we extend the classical Bernstein estimates for sys-tems of weakly coupled fully non-linear elliptic equations as well as scalar elliptic equations with non-local integral terms and singular kernels.

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

KW - Bernstein estimate

KW - Fractional laplacian

KW - Maximum principles

KW - Singular integral operators

KW - Systems of fully non-linear elliptic equations

KW - Weak coupling

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U2 - 10.3934/cpaa.2012.11.861

DO - 10.3934/cpaa.2012.11.861

M3 - Article

AN - SCOPUS:84867246690

SN - 1534-0392

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SP - 861

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JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 3

ER -

Bernstein estimates: Weakly coupled systems and integral equations

Abstract

Keywords

ASJC Scopus subject areas

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