On the exterior Neumann problem involving the critical Sobolev exponent

Authors

  • Jan Chabrowski
  • Pedro M. Girāo

Keywords

Exterior Neumann problem, critical Sobolev exponent, constrained minimization, linking

Abstract

In this paper we consider the exterior Neumann problem (P) involving the critical Sobolew exponent. We investigate two cases where the coefficient $a$ interferes or not with the spectrum of the Lapalce operator with the Neumann boundary conditions. In both cases we establish the existence of solutions.

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Published

2004-03-01

How to Cite

1.
CHABROWSKI, Jan and GIRĀO, Pedro M. On the exterior Neumann problem involving the critical Sobolev exponent. Topological Methods in Nonlinear Analysis. Online. 1 March 2004. Vol. 23, no. 1, pp. 33 - 43. [Accessed 5 July 2025].

Issue

Vol 23, No 1 (March 2004)

Section

Articles

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