On the exterior Neumann problem involving the critical Sobolev exponent
KeywordsExterior Neumann problem, critical Sobolev exponent, constrained minimization, linking
AbstractIn 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.
How to Cite
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].
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