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

Revista Matemática Iberoamericana (2006)

- Volume: 22, Issue: 2, page 559-590
- ISSN: 0213-2230

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topLi, 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 < l < +∞. 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 < l < +∞. 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 -