Boundary value problems for degenerate semilinear elliptic pseudodifferential operators are considered. Using the apparatus of the theory of pseudodifferential operators, function spaces introduced in [4-8], and the Rabinowitz construction [12] based on the Borsuk theorem (see [11]), we prove the existence of solutions of the problem in suitable function spaces. © 2008 Pleiades Publishing, Ltd.

Egorov Yu.V., Chuong N.M., Tuan D.A.

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