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

Zuluaga, 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 -