6533b854fe1ef96bd12aeb49
RESEARCH PRODUCT
Singular solutions to p-Laplacian type equations
Tero Kilpeläinensubject
Closed setSingular functionSingular solutionGeneral MathematicsMathematical analysisMathematics::Analysis of PDEsZero (complex analysis)p-LaplacianNabla symbolFunction (mathematics)Type (model theory)Mathematicsdescription
We construct singular solutions to equations $div\mathcal{A}(x,\nabla u) = 0,$ similar to the p-Laplacian, that tend to ∞ on a given closed set of p-capacity zero. Moreover, we show that every Gδ-set of vanishing p-capacity is the infinity set of some A-superharmonic function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-10-01 | Arkiv för Matematik |