Uniqueness of positive solutions of nonlinear second order systems

Autores: René Dalmasso
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 11, Nº 2, 1995, págs. 247-268
Idioma: inglés
DOI: 10.4171/rmi/172
Títulos paralelos:
- Unicidad de soluciones positivas de sistemas no lineales de segundo orden
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Resumen
- In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = up, p > 1, or f(u) = ?u + a1up1 + ... + akupk, with pj > 1, aj > 0 for j = 1, ..., k and 0 = ? < µ12 where µ1 = p2/4R2.