6533b859fe1ef96bd12b7f57
RESEARCH PRODUCT
Nonlinear Potential Theory and PDEs
Tero Kilpeläinensubject
Dirichlet problemNonlinear systemMathematical analysisRadon measureMathematics::Analysis of PDEsBoundary (topology)Link (knot theory)Measure (mathematics)Potential theoryMathematicsdescription
We consider equations like — div(∣∇u∣ p-2∇u) = µ, where µ is a nonnegative Radon measure and 1 < p < ∞. Results that relate the solution u and the measure µ are reviewed. A link between potential estimates and the boundary regularity of the Dirichlet problem is established.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-01-01 |