Mons L (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 12
Journal Issue: 1
In this article, we consider anisotropic parabolic systems of p p -Laplace type. The model case is the parabolic p i -Laplace system u t - i = 1 n x i (D i u p i - 2 D i u) = 0 =0 with exponents p i ≥ 2. Under the assumption that the exponents are not too far apart, i.e., the difference p max - p min {p}_{\max }-{p}_{\min } is sufficiently small, we establish a higher integrability result for weak solutions. This extends a result, which was only known for the elliptic setting, to the parabolic setting.
APA:
Mons, L. (2023). Higher integrability for anisotropic parabolic systems of p-Laplace type. Advances in Nonlinear Analysis, 12(1). https://dx.doi.org/10.1515/anona-2022-0308
MLA:
Mons, Léon. "Higher integrability for anisotropic parabolic systems of p-Laplace type." Advances in Nonlinear Analysis 12.1 (2023).
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