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- Title
Besov regularity for solutions of p-harmonic equations.
- Authors
Clop, Albert; Giova, Raffaella; Passarelli di Napoli, Antonia
- Abstract
We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., divš ā¢ (x , Du) = divF, when š is a p-harmonic type operator, and under the assumption that x ā¦ š ā¢ (x, Ī¾) belongs to the critical BesovāLipschitz space BĪ±n/Ī±,q. We prove that some fractional differentiability assumptions on F transfer to Du with no losses in the natural exponent of integrability. When divF = 0, we show that an analogous extra differentiability property for Du holds true under a TriebelāLizorkin assumption on the partial map x ā¦ š(x, Ī¾).
- Subjects
BESOV spaces; FUNCTION spaces; COMPLEX variables; NUMERICAL analysis; MATHEMATICAL analysis
- Publication
Advances in Nonlinear Analysis, 2019, Vol 8, Issue 1, p762
- ISSN
2191-9496
- Publication type
Article
- DOI
10.1515/anona-2017-0030