Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces
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DOI: 10.1007/s00025-018-0830-9
Abstract: We present a self-contained proof of Rivière’s theorem on the existence of Uhlenbeck’s decomposition for $$\Omega \in L^p(\mathbb {B}^n,so(m)\otimes \Lambda ^1\mathbb {R}^n)$$Ω∈Lp(Bn,so(m)⊗Λ1Rn) for $$p\in (1,n)$$p∈(1,n), with Sobolev type estimates in the case $$p \in [n/2,n)$$p∈[n/2,n)… read more here.
Keywords: sobolev morrey; uhlenbeck decomposition; morrey sobolev; decomposition sobolev ... See more keywords
An optimal pointwise Morrey-Sobolev inequality
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DOI: 10.1016/j.jmaa.2020.124143
Abstract: Abstract Let Ω be a bounded, smooth domain of R N , N ≥ 1 . For each p > N we study the optimal function s = s p in the pointwise inequality |… read more here.
Keywords: morrey sobolev; pointwise morrey; sobolev inequality; inequality ... See more keywords