On the critical Neumann problem with lower order perturbations

Jan Chabrowski; Bernhard Ruf

Colloquium Mathematicae (2007)

  • Volume: 108, Issue: 2, page 225-246
  • ISSN: 0010-1354

Abstract

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We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.

How to cite

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Jan Chabrowski, and Bernhard Ruf. "On the critical Neumann problem with lower order perturbations." Colloquium Mathematicae 108.2 (2007): 225-246. <http://eudml.org/doc/284220>.

@article{JanChabrowski2007,
abstract = {We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.},
author = {Jan Chabrowski, Bernhard Ruf},
journal = {Colloquium Mathematicae},
keywords = {Neumann problem; critical Sobolev exponent; topological linking},
language = {eng},
number = {2},
pages = {225-246},
title = {On the critical Neumann problem with lower order perturbations},
url = {http://eudml.org/doc/284220},
volume = {108},
year = {2007},
}

TY - JOUR
AU - Jan Chabrowski
AU - Bernhard Ruf
TI - On the critical Neumann problem with lower order perturbations
JO - Colloquium Mathematicae
PY - 2007
VL - 108
IS - 2
SP - 225
EP - 246
AB - We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.
LA - eng
KW - Neumann problem; critical Sobolev exponent; topological linking
UR - http://eudml.org/doc/284220
ER -

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