Advances in Differential Equations

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

André H. Erhardt

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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

Subjects
Primary: 35K86: Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities [See also 35R35, 49J40] 35A01: Existence problems: global existence, local existence, non-existence

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.


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