| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 760268 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 5 Pages |
Abstract
Consider the equation −ε2Δuε + q(x)uε = f(uε) in R3R3, ∣u(∞)∣ < ∞, ε = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution uε exists and limε→0uε = 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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Authors
A.G. Ramm,