Remarks on Quasilinear Elliptic Equations as Models for Elementary Particles (original) (raw)

Discrete and Continuous Dynamical Systems, 2002

Abstract

ABSTRACT We study a class of quasilinear elliptic equations suggested by C.H. Der-rick 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.

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