A Schrödinger singular perturbation problem
Ramm, A. G.
Original · EN
Consider the equation -²Δu+q(x)u=f(u) in ³, |u(∞)|<∞, =const>0. Under what assumptions on q(x) and f(u) can one prove that the solution u exists and → 0 u=u(x), where u(x) solves the limiting problem q(x)u=f(u)? These are the questions discussed in the paper.
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