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Uniform estimates and a blow-up sequence for −Δu=V(x)up

Article type: Research Article

Authors: Wang, Shixiao

Affiliations: Department of Mathematics, Hill Center, Busch Campus, Rutgers University, New Brunswick, NJ 08903, USA

Abstract: We study the behaviour of the solutions of a nonlinear elliptic equation. We show when there exists a uniform estimate for a sequence of solutions of this equation and when there does not exist such an estimate; in this case we provide a blow-up example.

DOI: 10.3233/ASY-1993-7304

Journal: Asymptotic Analysis, vol. 7, no. 3, pp. 207-213, 1993

Received 25 January 1992
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Published: 1993
Price: EUR 27.50
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