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Global Compactness Properties of Semilinear Elliptic Equations with Critical Exponential Growth

✍ Scribed by Adimurthi; Michael Struwe

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
269 KB
Volume
175
Category
Article
ISSN
0022-1236

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✦ Synopsis

Sequences of positive solutions to semilinear elliptic equations of critical exponential growth in the plane either are precompact in the Sobolev H 1 -topology or concentrate at isolated points of the domain. For energies allowing at most single-point blow-up, we establish a universal blow-up pattern near the concentration point and uniquely characterize the blow-up energy in terms of a geometric limiting problem. 2000 Academic Press f (t) dt= 1 8? (e 4?s 2 &1).

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