# Existence of solutions for some elliptic problems with critical Sobolev exponents.

Revista Matemática Iberoamericana (1989)

- Volume: 5, Issue: 3-4, page 183-193
- ISSN: 0213-2230

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topZuluaga, Mario. "Existence of solutions for some elliptic problems with critical Sobolev exponents.." Revista Matemática Iberoamericana 5.3-4 (1989): 183-193. <http://eudml.org/doc/39388>.

@article{Zuluaga1989,

abstract = {Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H01 (Ω) satisfying the nonlinear elliptic problemsΔu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, andΔu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω).},

author = {Zuluaga, Mario},

journal = {Revista Matemática Iberoamericana},

keywords = {Problema elíptico; Criticidad; Teorema de existencia; Soluciones; Sobolev embedding; fixed point theorem; approximation methods},

language = {eng},

number = {3-4},

pages = {183-193},

title = {Existence of solutions for some elliptic problems with critical Sobolev exponents.},

url = {http://eudml.org/doc/39388},

volume = {5},

year = {1989},

}

TY - JOUR

AU - Zuluaga, Mario

TI - Existence of solutions for some elliptic problems with critical Sobolev exponents.

JO - Revista Matemática Iberoamericana

PY - 1989

VL - 5

IS - 3-4

SP - 183

EP - 193

AB - Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H01 (Ω) satisfying the nonlinear elliptic problemsΔu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, andΔu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω).

LA - eng

KW - Problema elíptico; Criticidad; Teorema de existencia; Soluciones; Sobolev embedding; fixed point theorem; approximation methods

UR - http://eudml.org/doc/39388

ER -

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