# American Institute of Mathematical Sciences

2003, 2003(Special): 336-341. doi: 10.3934/proc.2003.2003.336

## Remarks on quasilinear elliptic equations as models for elementary particles

 1 Dipartimento di Scienze T.A. - via Cavour 84, 15100 Alessandria 2 Dipartimento di Matematica, Università degli Studi di Bari, Via Orabona, 4, I-70125 Bari, Italy

Received  September 2002 Published  April 2003

We study a class of quasilinear elliptic equations suggested by C.H. Derrick in 1964 as models for elementary particles. For scalar fields we prove some new nonexistence results. For vector-valued fields the situation is different as shown by recent results concerning the existence of solitary waves with a topological constraint.
Citation: Filippo Gazzola, Lorenzo Pisani. Remarks on quasilinear elliptic equations as models for elementary particles. Conference Publications, 2003, 2003 (Special) : 336-341. doi: 10.3934/proc.2003.2003.336
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