We study the existence, nonexistence and multiplicity of nonnegative solutions for the quasilinear elliptic problem
where Ω is a bounded domain in RN, λ > 0 is a parameter, △p = div(|∇u|p−2∇u) is the p−Laplace operator of u, 1 < p < N, 0 < q < p − 1 < r ≤ p∗ − 1, a(x), b(x) are bounded functions, the coefficient b(x) is assumed to be nonnegative and a(x) is allowed to change sign. The results of the semilinear equations are extended to the quasilinear problem.
@article{1306,
title = {Nonnegative solutions of quasilinear elliptic problems with sublinear indefinite nonlinearity},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1306}
}
Wang, Weihui; Yang, Zuodong. Nonnegative solutions of quasilinear elliptic problems with sublinear indefinite nonlinearity. CUBO, A Mathematical Journal, Tome 15 (2013) . http://gdmltest.u-ga.fr/item/1306/