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Elliptic equations with nearly critical growth

✍ Scribed by F.V Atkinson; L.A Peletier


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
533 KB
Volume
70
Category
Article
ISSN
0022-0396

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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 patter