On a semilinear elliptic eigenvalue problem
Annales Polonici Mathematici, Tome 67 (1997) no. 3, pp. 289-295
We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, $u|_{∂Ω} = 0$, where f(x) and h(u) satisfy minimal regularity assumptions.
Keywords:
semilinear elliptic equations, nonlinear boundary-value problems, positive solutions, supersolution and subsolution method
@article{10_4064_ap_67_3_289_295,
author = {Mario Coclite},
title = {On a semilinear elliptic eigenvalue problem},
journal = {Annales Polonici Mathematici},
pages = {289--295},
year = {1997},
volume = {67},
number = {3},
doi = {10.4064/ap-67-3-289-295},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-67-3-289-295/}
}
Mario Coclite. On a semilinear elliptic eigenvalue problem. Annales Polonici Mathematici, Tome 67 (1997) no. 3, pp. 289-295. doi: 10.4064/ap-67-3-289-295
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