Calderon-Zygmund estimates for higher order systems with p(x) growth

Habermann J (2008)


Publication Type: Journal article

Publication year: 2008

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 258

Pages Range: 427-462

DOI: 10.1007/s00209-007-0180-x

Abstract

For weak solutions Equation Presented of higher order systems of the type Equation Presented with variable growth exponent p : Ω → (1,∞) we prove that if |F|p(̇) ∈ Lqloc (Ω) with 1 < q < n/{n-2} + δ, then |Dmu|{p(̇) ∈ ∈ Lqloc (Ω). We should note that we prove this implication both in the non-degenerate (μ > 0) and in the degenerate case (μ = 0). © 2007 Springer-Verlag.

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APA:

Habermann, J. (2008). Calderon-Zygmund estimates for higher order systems with p(x) growth. Mathematische Zeitschrift, 258, 427-462. https://dx.doi.org/10.1007/s00209-007-0180-x

MLA:

Habermann, Jens. "Calderon-Zygmund estimates for higher order systems with p(x) growth." Mathematische Zeitschrift 258 (2008): 427-462.

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