6533b81ffe1ef96bd1276fac
RESEARCH PRODUCT
H�lder continuity of solutions to quasilinear elliptic equations involving measures
Tero Kilpeläinensubject
Functional analysisMathematical analysisHölder conditionNabla symbolMeasure (mathematics)AnalysisPotential theoryMathematicsdescription
We show that the solutionu of the equation $$ - div(|\nabla u|^{p - 2} \nabla u) = \mu $$ is locally β-Holder continuous provided that the measure μ satisfies the condition μ(B(x,r))⩽Mrn − p + α(p − 1) for some α>β. A corresponding result for more general operators is also proven.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-09-01 | Potential Analysis |