On the exterior Neumann problem involving the critical Sobolev exponent | Zendy

J. Chabrowski | Zendy; Pedro M. Girão | Zendy

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On the exterior Neumann problem involving the critical Sobolev exponent

Author(s) -

J. Chabrowski,

Pedro M. Girão

Publication year - 2004

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2004.002

Subject(s) - mathematics , neumann boundary condition , sobolev space , exponent , critical exponent , mathematical analysis , boundary (topology) , operator (biology) , pure mathematics , von neumann architecture , boundary value problem , geometry , scaling , philosophy , linguistics , biochemistry , chemistry , repressor , transcription factor , gene

In this paper we consider the exterior Neumann problem (P)involving the critical Sobolew exponent.We investigate two cases where the coefficient $a$ interferesor 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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