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A singular bifurcation problem

✍ Scribed by T Küpper

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
374 KB
Volume
60
Category
Article
ISSN
0022-247X

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Consider the equation Àe 2 Du e + q(x)u e = f(u e ) in R 3 , ju(1)j < 1, e = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution u e exists and lim e!0 u e = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper.