REVIEW 2 cited by
Riesz potential estimates for mixed local-nonlocal problems with measure data
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 study gradient regularity for mixed local-nonlocal problems modelled upon \[ -\Delta_p u +(-\Delta_p)^su=\mu\qquad\text{for} \quad 2-\tfrac{1}{n}<p<\infty\quad \text{and}\quad s\in(0,1)\,,\] where $\mu$ is a bounded Borel measure. We prove pointwise bounds for the gradient $Du$ in terms of the truncated 1-Riesz potential of $\mu$.
Forward citations
Cited by 2 Pith papers
-
Higher Sobolev regularity on the mixed local and nonlocal p-Laplace equations
For mixed local and nonlocal p-Laplace equations, weak solutions inherit the same higher Sobolev regularity as classical p-harmonic functions: W^{2,2}_loc for 1<p≤2 and |∇u|^{(p-2)/2}∇u in W^{1,2}_loc for p≥2.
-
Regularity and existence for semilinear mixed local-nonlocal equations with variable singularities and measure data
Existence and regularity are established for semilinear mixed local-nonlocal problems with variable singular exponent and measure-valued data, including the case of two simultaneous measure sources.
Discussion (0). Continue with ORCID to comment.