scholarly journals Hardy–Sobolev inequalities in unbounded domains and heat kernel estimates

2013 ◽  
Vol 264 (3) ◽  
pp. 837-893 ◽  
Author(s):  
Konstantinos T. Gkikas
1995 ◽  
Vol 4 (1) ◽  
pp. 11-25 ◽  
Author(s):  
F. R. K. Chung ◽  
S.-T. Yau

We derive bounds for eigenvalues of the Laplacian of graphs using discrete versions of the Sobolev inequalities and heat kernel estimates.


2009 ◽  
Vol 146 (3-4) ◽  
pp. 361-399 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song

2000 ◽  
Vol 32 (4) ◽  
pp. 477-483 ◽  
Author(s):  
Bernd Metzger ◽  
Peter Stollmann

2014 ◽  
Vol 213 (1) ◽  
pp. 215-243 ◽  
Author(s):  
Gabriele Grillo ◽  
Hynek Kovařík ◽  
Yehuda Pinchover

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