American Institute of Mathematical Sciences

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2003, 2003(Special): 327-335. doi: 10.3934/proc.2003.2003.327

Critical exponents which relate embedding inequalities with quasilinear elliptic problems

Filippo Gazzola 1,

1. 

Dipartimento di Scienze T.A. - via Cavour 84, 15100 Alessandria

Received  July 2002 Revised  March 2003 Published  April 2003

We show that three numbers which are critical for suitable embedding inequalities are also critical for existence results for some m-Laplace quasilinear elliptic problems with polynomial reaction term.
Keywords: embedding inequalities, Critical exponents, m-Laplacian..
Mathematics Subject Classification: Primary: 35B33, 35J60, 46E3.
Citation: Filippo Gazzola. Critical exponents which relate embedding inequalities with quasilinear elliptic problems. Conference Publications, 2003, 2003 (Special) : 327-335. doi: 10.3934/proc.2003.2003.327
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