Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point

The asymptotics of the solutions of the Dirichlet problem for the equation
$$ -\Delta u(x)+u(x)^{2k+1}=f(x),\qquad x\in\Omega, $$
is studied in a plane domain $\Omega$ with a corner point of angle $\alpha$. The asymptotics of a solution of this problem is constructed in the case where the right side $f$ has a strong singularity near the corner point.
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