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Some remarks on a quasilinear elliptic equation with critical exponent
Received date: 2010-10-09
Revised date: 2010-11-08
Online published: 2011-09-15
We investigate the following quasilinear elliptic equation:
where Ω is a bounded domain in RN with smooth boundary, Δpu=div(| ▽ u |p-2 ▽ u), N≥3, 2≤p < N, 0<q<1, and p*= (Np)/(N-p). By using variational methods, we obtain a lower bound of the extremal value λ*(Ω,p,q) for equation (1λ), which can be explicitly calculated.
LIU Xing , SUN Yi-Jing . Some remarks on a quasilinear elliptic equation with critical exponent[J]. Journal of University of Chinese Academy of Sciences, 2011 , 28(5) : 583 -590 . DOI: 10.7523/j.issn.2095-6134.2011.5.003
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