论文信息 - Fine topology and quasilinear elliptic equations

Fine topology and quasilinear elliptic equations

On demontre que la topologie fine de type (1,p) definie a l'aide d'un critere de Wiener est la moins fine topologie rendant continue toutes les sursolutions de l'equation p-harmonique div (|⊇u| P−2 ⊇u)=0. On etudie aussi les limites fines d'applications quasi regulieres et de type BLD

[1] N. Meyers,et al. Thinness and Wiener Criteria for Non-Linear Potentials , 1972 .

[2] J. Heinonen,et al. On the Wiener criterion and quasilinear obstacle problems , 1988 .

[3] M. Brelot. On Topologies and Boundaries in Potential Theory , 1971 .

[4] B. Fuglede. Asymptotic paths for subharmonic functions and polygonal connectedness of fine domains , 1980 .

[5] O. Martio,et al. Definitions for quasiregular mappings , 1969 .

[6] John L. Lewis,et al. Fine and quasi connectedness in nonlinear potential theory , 1985 .

[7] P. Lindqvist. On the definition and properties of p-superharmonic functions. , 1986 .