On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity

J. Chabrowski, and Shusen Yan. "On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity." Colloquium Mathematicae 94.1 (2002): 141-150. <http://eudml.org/doc/284757>.

@article{J2002,
abstract = {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.},
author = {J. Chabrowski, Shusen Yan},
journal = {Colloquium Mathematicae},
keywords = {Neumann problem; critical Sobolev exponent; linking},
language = {eng},
number = {1},
pages = {141-150},
title = {On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity},
url = {http://eudml.org/doc/284757},
volume = {94},
year = {2002},
}

TY - JOUR
AU - J. Chabrowski
AU - Shusen Yan
TI - On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 1
SP - 141
EP - 150
AB - 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.
LA - eng
KW - Neumann problem; critical Sobolev exponent; linking
UR - http://eudml.org/doc/284757
ER -