## Advances in Differential Equations

### Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles

André H. Erhardt

#### Abstract

In this paper, we establish the existence theory to nonlinear parabolic problems with nonstandard $p(x,t)$-growth conditions and irregular obstacles.

#### Article information

Source
Adv. Differential Equations Volume 21, Number 5/6 (2016), 463-504.

Dates
First available in Project Euclid: 9 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.ade/1457536498

Mathematical Reviews number (MathSciNet)
MR3473582

Zentralblatt MATH identifier
1338.35266

#### Citation

Erhardt, André H. Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. Adv. Differential Equations 21 (2016), no. 5/6, 463--504. https://projecteuclid.org/euclid.ade/1457536498