| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844361 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 17 Pages |
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.
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Authors
P. Harjulehto, P. Hästö, M. Koskenoja, T. Lukkari, N. Marola,