On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity
J. Chabrowski, Shusen Yan (2002)
Colloquium Mathematicae
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We consider the Neumann problem for the equation , u ∈ H¹(Ω), where Q is a positive and continuous coefficient on Ω̅ and λ is a parameter between two consecutive eigenvalues and . Applying a min-max principle based on topological linking we prove the existence of a solution.