Abstract: | Summary In this paper we study, in the framework of Sobolev weight spaces, differential operators of elliptic type, with singular
coefficients, perturbed by a potential. Conditions for compactness of embedding W
s,σ
r,p
(Ω)↪W
s,0
0,p
(Ω)=L
s
p
(Ω) for density ofD(Ω) on W
s,σ
r,p
(Ω) and discretness conditions for the spectrum of Aσ in the Banach spaces L
s
p
(Ω), have been established.
Entrata in Redazione il 20 dicembre 1977.
Lavoro eseguito, nell'ambito del Gruppo Nazionale per l'Analisi Funzionale e le sue Applicazioni del C.N.R. |