On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity

• Autorzy: J. Chabrowski , Shusen Yan
• Języki publikacji: EN

Abstrakty

EN

We consider the Neumann problem for the equation $-Δu - λu = Q(x)|u|^{2*-2}u$, u ∈ H¹(Ω), where Q is a positive and continuous coefficient on Ω̅ and λ is a parameter between two consecutive eigenvalues $λ_{k-1}$ and $λ_{k}$. Applying a min-max principle based on topological linking we prove the existence of a solution.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 94
• Numer: 1
• Strony: 141-150

Daty

wydano

2002

Twórcy

autor

J. Chabrowski

• Department of Mathematics, University of Queensland, St. Lucia, Qld 4072, Australia

autor

Shusen Yan

• School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

Identyfikatory

DOI

10.4064/cm94-1-10