Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent
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Man Chun Leung
matlmc@math.nus.edu.sg
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Abstract
In IRn (n ≥ 3), an interesting property of the semi-linear equation
Is that, when K0 is a positive constant, solutions can concentrate at any point. When K0 is not a constant, we show that concentration of solutions requires strong conditions on K0. Through the stereographic projection, the discussion can be extended to Sn, and is related to bubbling, or the blow-up phenomenon.
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Published
2005-04-01
How to Cite
[1]
M. Chun Leung, “Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent”, CUBO, vol. 7, no. 1, pp. 1–21, Apr. 2005.
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