Title of article
Local “superlinearity” and “sublinearity” for the p-Laplacian
Author/Authors
Djairo G. De Figueiredo، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
32
From page
721
To page
752
Abstract
We study the existence, nonexistence and multiplicity of positive solutions for a family of problems
− pu = fλ(x, u), u ∈ W
1,p
0 (Ω), where Ω is a bounded domain in RN, N >p, and λ > 0 is a parameter.
The family we consider includes the well-known nonlinearities of Ambrosetti–Brezis–Cerami type in
a more general form, namely λa(x)uq + b(x)ur, where 0 q
Keywords
Concave-convex nonlinearities , C10 versus W1 , p0 local minimization , critical exponent , Strongcomparison principle , ? estimate , Upper–lower solutions , C1 , p-laplacian
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
839946
Link To Document