Critical Points of a Singular Perturbati
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Nicholas Alikakos; MichaΕ Kowalczyk
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Article
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1999
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Elsevier Science
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English
β 208 KB
In this paper we study the existence of critical points of the functional where 0 # R d , d 2 is a bounded domain with C 3 boundary, u # H 1 (0), and = is a small parameter. On the nonlinearity F we assume: ). Additionally we require that there exists q>1 such that for u>0 the function F$(u)Γu q i