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APPROXIMATELY ANALYTIC FUNCTIONS OF BOUNDED TYPE AND BOUNDARY BEHAVIOUR OF SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.
On the Boundary Behaviour, Including Second Order Effects, of Solutions to Singular Elliptic Problems
elliptic problems singular equations boundary behaviour
2007/12/11
For $\gamma\ge 1$ we consider the solution $u=u(x)$ of the Dirichlet boundary value problem $\Delta u+u^{-\gamma}=0$ in $\Omega$, $u=0$ on $\partial\Omega$. For $\gamma=1$ we find the estimate $$u(x)=...