Geodesic
On solvability of Dirichlet problem to semilinear Schrödinger equation with singular potential
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Tome 336 (2006), pp. 25-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove the existence of a positive solution to the Dirichlet problem for the semilinear Schrödinger equation with acritical singular potential. We assume that the boundary $\partial\Omega$ is average concave at the origin. 
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A. V. Demyanov; A. I. Nazarov. On solvability of Dirichlet problem to semilinear Schrödinger equation with singular potential. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Tome 336 (2006), pp. 25-45. http://geodesic.mathdoc.fr/item/ZNSL_2006_336_a1/

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