Positive solutions of a Neumann problem with competing critical nonlinearities

Authors

  • Jan Chabrowski
  • Stathis Filippas
  • Achilles Tertikas

Keywords

Neumann problem, Sobolev critical exponents, constrained minimization, concentration phenomena, Nehari manifold, least energy solutions

Abstract

We present existence results for a Neumann problem involving critical Sobolev nonlinearities both on the right hand side of the equation and at the boundary condition. Positive solutions are obtained through constrained minimization on the Nehari manifold. Our approach is based on the concentration compactness principle of P. L. Lions and M. Struwe.

Downloads

Published

2006-09-01

How to Cite

1.
CHABROWSKI, Jan, FILIPPAS, Stathis and TERTIKAS, Achilles. Positive solutions of a Neumann problem with competing critical nonlinearities. Topological Methods in Nonlinear Analysis. Online. 1 September 2006. Vol. 28, no. 1, pp. 1 - 31. [Accessed 1 July 2025].

Issue

Vol 28, No 1 (September 2006)

Section

Articles

Stats

Number of views and downloads: 0
Number of citations: 0