We study the existence of multiple positive solutions of −∆u = λu−q + up in Ω with homogeneous Dirichlet boundary condition, where Ω is a bounded domain in N , λ > 0 and 0 < q ≤ 1 < p ≤ (N + 2)/(N − 2). We show by variational method that if λ is less than some positive constant then the problem has at least two positive weak solutions including the cases of q = 1 or p = (N + 2)/(N − 2). We also study the regularity of positive weak solutions.
|Autori interni:||SACCON, CLAUDIO|
|Autori:||HIRANO NORIMICHI; SACCON C; SHIOJI NAOKI|
|Titolo:||Multiple Existence of Positive Solutions for Singular Elliptic Problems with Concave and Convex Nonlinearities|
|Anno del prodotto:||2004|
|Appare nelle tipologie:||1.1 Articolo in rivista|