By Siemons J.
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13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. S. A. Arakcheev, "Partial regularity of solutions of the Dirichlet problem for quasilinear elliptic equations," Differents. Uravn. Chastn. Proizvodn. Tr. Semin. S. L. Sobolev, Novosibirsk, No. 2, 5-32 (1979). A. V. Babin, "Properties of quasilinear elliptic maps and nonlinear elliptic boundary problems," Vestn. Mosk. Gos. Univ. , No. 5, 13-19 (1975) . . A. V. Babin, "Fi nlte-dlmenslonallty of the kernel and cokernel of quasilinear elliptic maps," Mat.
R. Brezis and L. Nirenberg, "Characterizations of the ranges of some nonlinear operators and applications to boundary value problems," Ann. Sc. Norm. Super. Pisa. CI. , 5, No. 2, 225-326 (1978). 85. F. E. Browder, "Nonlinear elliptic boundary value problems and the generalized topological degree," Bull. Am. Math. , 7__66,No. 5, 999-1005 (1970). 86. F. E. Browder, "Infinite dimensional manifolds and non-linear elliptic eigenvalue problems," Ann. , 8~2, No. 3, 459-477 (1985). 87. F. E. Browder, "Nonlinear elliptic boundary value problems," Bull.
The ellipticity of the equation L(v) means that for ~=(~i .... , ~n)~Rn the inequality X ~r~'(x ' v . . . D2mv)~">~A(v)I~[ 2ra, I"t=2tn holds with positive constant A ( v ) d e p e n d i n g on v . 1. 8~) established an isomorphism of the corresponding spaces. If condition i) holds, one can construct a similar operator F(v) and hence the class of problems for which a topological characteristic is introduced below is actually determined by condition i) alone. 2. The constructions of the present section can also be made when the operator U(u) has negative index.