6533b870fe1ef96bd12cf372
RESEARCH PRODUCT
Higher integrability and stability of (p,q)-quasiminimizers
Antonella NastasiCintia Pacchiano Camachosubject
Mathematics - Analysis of PDEsApplied MathematicsFOS: Mathematics31E05 30L99 46E35AnalysisAnalysis of PDEs (math.AP)(pq)-Laplace operator Measure metric spaces Minimal p-weak upper gradient Minimizerdescription
Using purely variational methods, we prove local and global higher integrability results for upper gradients of quasiminimizers of a $(p,q)$-Dirichlet integral with fixed boundary data, assuming it belongs to a slightly better Newtonian space. We also obtain a stability property with respect to the varying exponents $p$ and $q$. The setting is a doubling metric measure space supporting a Poincar\'e inequality.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-01-01 |