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Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
Motivated mainly by the localization over an open bounded set Ω of R n of solutions of the Schrödinger equations, we consider the Schrödinger equation over Ω with a very singular potential V (x) Cd(x,∂ Ω) -r with r 2 and a convective flow U .We prove the existence and …