On the exterior Neumann problem involving the critical Sobolev exponent
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  • On the exterior Neumann problem involving the critical Sobolev exponent

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 & GIRĀO, Pedro M. On the exterior Neumann problem involving the critical Sobolev exponent. Topological Methods in Nonlinear Analysis [online]. 1 March 2004, T. 23, nr 1, s. 33–43. [accessed 3.12.2021].

Issue

Vol 23, No 1 (March 2004)

Section

Articles

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