On the Hardy–Sobolev equation

Articolo

Data di Pubblicazione:

2017

Citazione:

On the Hardy–Sobolev equation / Dancer, E. N; Gladiali, Francesca Maria; Grossi, M.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 147:2(2017), pp. 1-38. [10.1017/S0308210516000135]

Abstract:

In this paper we study the problem (Formula presented.) where Ω = ℝN or Ω = B 1, N ⩾ 3, p > 1 and (Figure presented.). Using a suitable map we transform problem (1) into another one without the singularity 1/|x|2. Then we obtain some bifurcation results from the radial solutions corresponding to some explicit values of λ.

Tipologia CRIS:

1.1 Articolo in rivista

Keywords:

bifurcation theory; Hardy inequality; positive solutions; semilinear elliptic equations; Sobolev inequality; Mathematics (all)

Elenco autori: