A problem with analogue of the Frankl and mixing conditions for the Gellerstedt equation with singular coefficient

For the equation (sign y)| y| m u xx + u yy + α 0 | y| (m - 2)/2 u x + ( β 0 /y)u y = 0, $, considered in some unbounded mixed domain, uniqueness and existence theorems for a solution to the problem with the missing shift condition on the boundary characteristics and an analogue of the Frankl type condition on the interval of degeneracy of the equation are proved.

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