Title of article
An obstacle problem and superharmonic functions with nonstandard growth Original Research Article
Author/Authors
P. Harjulehto، نويسنده , , P. H?st?، نويسنده , , M. Koskenoja، نويسنده , , T. Lukkari، نويسنده , , N. Marola، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
17
From page
3424
To page
3440
Abstract
In this article we study solutions and supersolutions of a variable exponent p(⋅)p(⋅)-Laplace equation, and the corresponding obstacle problem, as well as related p(⋅)p(⋅)-superharmonic functions. The relationship between these function classes closely parallels the classical case. However, integrability properties of p(⋅)p(⋅)-superharmonic functions require stronger assumptions.
Keywords
p(x)p(x)-Laplace equation , subsolution , supersolution , Variable exponent , Nonstandard growth , obstacle problem , Superharmonic function
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2007
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859997
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