Artículos de revistas
On the Sobolev trace Theorem for variable exponent spaces in the critical range
Fecha
2013-05Registro en:
Saintier, Nicolas Bernard Claude; Silva, Analia; Fernandez Bonder, Julian; On the Sobolev trace Theorem for variable exponent spaces in the critical range; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 193; 6; 5-2013; 1607-1628
0373-3114
1618-1891
CONICET Digital
CONICET
Autor
Fernandez Bonder, Julian
Saintier, Nicolas Bernard Claude
Silva, Analia
Resumen
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions and therefore to ensure the existence of extremals.