A symmetry result for a general class of divergence form PDEs in fibered media

Milena Chermisi; Enrico Valdinoci

doi:10.1016/j.na.2010.04.002

A symmetry result for a general class of divergence form PDEs in fibered media

Milena Chermisi
, Enrico Valdinoci

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

20 Citations (Web of Science)

Abstract

In ℝ^m×ℝ^n-m, endowed with coordinates X=(x,y), we consider the PDE -div(a(x,|∇u|(X))∇u(X))=f(x,u(X)), for which we prove a symmetry result.

Original language	English
Pages (from-to)	695-703
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	73
Issue number	3
DOIs	https://doi.org/10.1016/j.na.2010.04.002
Publication status	Published - 1 Aug 2010
Externally published	Yes

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title = "A symmetry result for a general class of divergence form PDEs in fibered media",

abstract = "In ℝm×ℝn-m, endowed with coordinates X=(x,y), we consider the PDE -div(a(x,|∇u|(X))∇u(X))=f(x,u(X)), for which we prove a symmetry result.",

keywords = "Geometric analysis, Possibly degenerate and singular elliptic PDEs, Rigidity and symmetry results",

author = "Milena Chermisi and Enrico Valdinoci",

year = "2010",

month = aug,

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doi = "10.1016/j.na.2010.04.002",

language = "English",

volume = "73",

pages = "695--703",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

T1 - A symmetry result for a general class of divergence form PDEs in fibered media

AU - Chermisi, Milena

AU - Valdinoci, Enrico

PY - 2010/8/1

Y1 - 2010/8/1

N2 - In ℝm×ℝn-m, endowed with coordinates X=(x,y), we consider the PDE -div(a(x,|∇u|(X))∇u(X))=f(x,u(X)), for which we prove a symmetry result.

AB - In ℝm×ℝn-m, endowed with coordinates X=(x,y), we consider the PDE -div(a(x,|∇u|(X))∇u(X))=f(x,u(X)), for which we prove a symmetry result.

KW - Geometric analysis

KW - Possibly degenerate and singular elliptic PDEs

KW - Rigidity and symmetry results

UR - https://www.scopus.com/pages/publications/77955678804

U2 - 10.1016/j.na.2010.04.002

DO - 10.1016/j.na.2010.04.002

M3 - Article

AN - SCOPUS:77955678804

SN - 0362-546X

VL - 73

SP - 695

EP - 703

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

A symmetry result for a general class of divergence form PDEs in fibered media

Abstract

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