Entropy solutions for nonlinear elliptic equations with variable exponents

Chao Zhang

Entropy solutions for nonlinear elliptic equations with variable exponents

Chao Zhang^*

^*Corresponding author for this work

School of Mathematics

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

28 Scopus citations

Abstract

In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2014
State	Published - 4 Mar 2014

Keywords

Entropy solutions
Existence
Uniqueness
Variable exponents

Cite this

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title = "Entropy solutions for nonlinear elliptic equations with variable exponents",

abstract = "In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.",

keywords = "Entropy solutions, Existence, Uniqueness, Variable exponents",

author = "Chao Zhang",

year = "2014",

month = mar,

day = "4",

language = "英语",

volume = "2014",

journal = "Electronic Journal of Differential Equations",

issn = "1550-6150",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Entropy solutions for nonlinear elliptic equations with variable exponents

AU - Zhang, Chao

PY - 2014/3/4

Y1 - 2014/3/4

N2 - In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.

AB - In this article we prove the existence and uniqueness of entropy solutions for p(x)-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative p(x)-capacity. Moreover, the existence of entropy solutions for weighted p(x)-Laplace equation is also obtained.

KW - Entropy solutions

KW - Existence

KW - Uniqueness

KW - Variable exponents

UR - https://www.scopus.com/pages/publications/84898717023

M3 - 文章

AN - SCOPUS:84898717023

SN - 1550-6150

VL - 2014

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Entropy solutions for nonlinear elliptic equations with variable exponents

Abstract

Keywords

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