Abstract
In this paper we prove that, for every positive integer k, there exists a contractible bounded domain Ω in ℝN with N≥3, where the problem (*) (see Introduction) has at least k solutions.
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Passaseo, D. Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains. Manuscripta Math 65, 147–165 (1989). https://doi.org/10.1007/BF01168296
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DOI: https://doi.org/10.1007/BF01168296