# LaTeX2HTML 2002-2-1 (1.70)
# Associate images original text with physical files.


$key = q/p^*;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$ p^*$">|; 

$key = q/displaystyleDeltau+u^p+u^q=0inmathbb{R}^Nu>0inmathbb{R}^Nlim_{leftvertxrightvert{rmto}infty}u(x){rmto}0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="427" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$\displaystyle \Delta u + u^p+u^q = 0 \in \mathbb{R}^N u &gt; 0 \in \mathbb{R}^N
\lim_{\left\vert x\right\vert  {\rm to} \infty} u(x) {\rm to} 0$">|; 

$key = q/q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$ q$">|; 

$key = q/Nslash(N-2)<p<p^*=(N+2)slash(N-2)<q,N>2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="427" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$ N/(N-2)&lt; p &lt; p^*=(N+2)/(N-2) &lt; q , N&gt; 2$">|; 

$key = q/p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$ p$">|; 

1;

