Hardy type inequalities were proved in anisotropic spaces for the domains of paraboloid U R type. The theorems of finiteness of negative spectrum for guasilliptic operalors were obtained. Fragmen. Lindelof type theorems were established for the solutions of quasielliptic boundary value problems in cylinders and other nonbounded domains. Normal solvability of general boundary value problem with boundary operators subjected to the Lopatin- Holder type conditions was proved. The theorems on belonging of the solution to the Holder class interier to domain and at Dirichlet's zero boundary conditions up to boundary was proved.

1. On Hardy type inegualities and their applications in the theory of guasielliptic equations. Dok. RAN 1993, t.330, N5, p.542-545

2. On anisotropic hardy inequalities and their applications.-mat. sb. 1993, t.184, N6. p.33-66

3. On the spectrum of quasielliptic differential operators.-Mat. zametki, 1993, t.53, N6. p.145-149

4. On the estimates of solutions of Neiman problems for quasilliptic equations in unbounded domains. Usp. mat. nauk. 1994. t.49, N1, p.209-210

5. Boundary value problems for quasilliptic equations on compact multivarieties.- Dif. Uravn. 1996, t.32, N5. p.704-705

Ganja Technological Institute, National Flying Academy of Azerbaijan, professor