Semilinear boundary value problems for degenerate pseudodifferential operators in spaces of Sobolev type
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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  based on the Borsuk theorem (see ), we prove the existence of solutions of the problem in suitable function spaces.
KeywordsMathematical Physic Boundary Value Problem Bounded Operator Cauchy Sequence Pseudodifferential Operator
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