Symmetric solutions of the Neumann problem involving a critical Sobolev exponent
Keywords
Neumann problem, critical Sobolev exponent, symmetric solutions, concentration-compactness principle, Sobolev inequalitiesAbstract
We study the effect of the coefficient of the critical nonlinearity for the Neumann problem on existence of symmetric least energy solutions. As a by-product we obtain two inequalities in symmetric Sobolev spaces involving a weighted critical Lebesgue norm and the $H^1$ norm.Downloads
Published
2002-03-01
How to Cite
1.
CHABROWSKI, Jan and GIRĀO, Pedro M. Symmetric solutions of the Neumann problem involving a critical Sobolev exponent. Topological Methods in Nonlinear Analysis. Online. 1 March 2002. Vol. 19, no. 1, pp. 1 - 27. [Accessed 26 April 2024].
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