Mappings with dilatation in Orlicz spaces

Autores: Jana Björn
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 53, Fasc. 3, 2002, págs. 303-312
Idioma: inglés
Títulos paralelos:
- Mapeos con dilatación en espacios de Orlicz
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Resumen
- We prove openness and discreteness for nonconstant mappings belonging to $W^{1,n}_{loc} (\Omega,\mathbb{R}^n)\geq 3$, with dilatation in certain Orlicz spaces which are strictly larger then all $L^p_{loc}(\Omega), p>n-1$. This result contributes to decreasing the gap between known results and a conjecture of Iwaniec and \v{S}verák.