artículo
On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
Fecha
2007Registro en:
10.1112/plms/pdl020
1460-244X
0024-6115
WOS:000245538500008
Autor
Esposito, Pierpaolo
Musso, Monica
Pistoia, Angela
Institución
Resumen
We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega.