Some remarks on nonlinear elliptic problems involving hardy potentials

Barbara Brandolini; Barbara Brandolini; Francisco Chiacchio; Cristina Trombetti

Some remarks on nonlinear elliptic problems involving hardy potentials

Barbara Brandolini, Barbara Brandolini, Francisco Chiacchio, Cristina Trombetti

Matematica e Informatica

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Abstract

In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.

Lingua originale	English
pagine (da-a)	617-630
Numero di pagine	14
Rivista	Houston Journal of Mathematics
Volume	33
Stato di pubblicazione	Published - 2007

All Science Journal Classification (ASJC) codes

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title = "Some remarks on nonlinear elliptic problems involving hardy potentials",

abstract = "In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.",

author = "Barbara Brandolini and Barbara Brandolini and Francisco Chiacchio and Cristina Trombetti",

year = "2007",

language = "English",

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pages = "617--630",

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T1 - Some remarks on nonlinear elliptic problems involving hardy potentials

AU - Brandolini, Barbara

AU - Chiacchio, Francisco

AU - Trombetti, Cristina

PY - 2007

Y1 - 2007

N2 - In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.

AB - In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.

UR - http://hdl.handle.net/10447/494030

M3 - Article

VL - 33

SP - 617

EP - 630

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

SN - 0362-1588

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