The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.

Li, Gongbao, and Zheng, Gao-Feng. "The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.." Revista Matemática Iberoamericana 22.2 (2006): 559-590. <http://eudml.org/doc/41984>.

@article{Li2006,
abstract = {In this paper, we are concerned with the asymptotically linear elliptic problem -Δu + λ0u = f(u), u ∈ H01(Ω) in an exterior domain Ω = RnO (N ≥ 3) with O a smooth bounded and star-shaped open set, and limt→+∞ f(t)/t = l, 0 &lt; l &lt; +∞. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution.},
author = {Li, Gongbao, Zheng, Gao-Feng},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Teorema de existencia; asymptotically linear elliptic; exterior domain; algebraic topology argument; positive solution},
language = {eng},
number = {2},
pages = {559-590},
title = {The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.},
url = {http://eudml.org/doc/41984},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Li, Gongbao
AU - Zheng, Gao-Feng
TI - The existence of positive solution to some asymptotically linear elliptic equations in exterior domains.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 2
SP - 559
EP - 590
AB - In this paper, we are concerned with the asymptotically linear elliptic problem -Δu + λ0u = f(u), u ∈ H01(Ω) in an exterior domain Ω = RnO (N ≥ 3) with O a smooth bounded and star-shaped open set, and limt→+∞ f(t)/t = l, 0 &lt; l &lt; +∞. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution.
LA - eng
KW - Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Teorema de existencia; asymptotically linear elliptic; exterior domain; algebraic topology argument; positive solution
UR - http://eudml.org/doc/41984
ER -