manuscripta mathematica

, Volume 65, Issue 2, pp 147–165

Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains


  • Donato Passaseo
    • Dipartimento di Matematica dell'Università

DOI: 10.1007/BF01168296

Cite this article as:
Passaseo, D. Manuscripta Math (1989) 65: 147. doi:10.1007/BF01168296


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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© Springer-Verlag 1989