Articulo
Radial solutions for a quasilinear equation via Hardy inequalities
Differential and Integral Equations.
Registro en:
15000001
15000001
Autor
Manásevich, R.
García-Huidobro, M.
Kufner, A.
Yarur, C.
Institución
Resumen
We establish an analogue of the Sobolev critical exponent for the inclusion Vp(a)→ Lq(b), where a and b are weight functions, Vp(a) is a weighted Sobolev space, and Lq(b) is a weighted Lebesgue space. We use this result to study existence of radial solutions to the problem with weights where ω is a ball, 1 < p < q, and ã(|x|) = |x|1-Na(|x|), b̃(|x|) = |x|1-Nb(|x|). We are interested in the interplay between q and a suitable critical exponent and its consequences for the existence and nonexistence of positive solutions of problem (DΩ). CMM FONDAP FONDAP