REVIEW 3 cited by
Global second order optimal regularity for the vectorial $p$-Laplacian
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We obtain optimal regularity results for solutions to vectorial $p$-Laplace equations $$ -{\boldsymbol \Delta}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbol u}) = {\boldsymbol f}(x)\,\, \mbox{ in $\Omega$}\,.$$ More precisely we address the issue of global second order estimates for the stress field.
Forward citations
Cited by 3 Pith papers
-
Regularity results for elliptic equations on cones
Gradient boundedness in spherical cones holds precisely when the first nontrivial cross-sectional Laplacian eigenvalue is ≥ N−1; weighted Lipschitz and second-order estimates hold for p-Laplace equations.
-
Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
For quasilinear equations -div(a(|∇u|)∇u)=f, the stress field a(|∇u|)^k∇u is shown to belong to W^{1,2}(Ω) up to the boundary for the optimal range of k, under weak W^{2,X} boundary regularity, with a convex-domain ve...
-
Existence results for variational quasilinear elliptic systems involving the vectorial $p$-Laplacian
All least-energy solutions of the vectorial p-Laplacian Lane–Emden system are of the form (c^1 ω, …, c^m ω), where c is a unit vector and ω solves the scalar p-Laplacian equation.
Discussion (0). Continue with ORCID to comment.