Eigenvalue problems of quasilinear elliptic systems on Rn.

Li, Gong Bao. "Eigenvalue problems of quasilinear elliptic systems on Rn.." Revista Matemática Iberoamericana 3.3-4 (1987): 371-399. <http://eudml.org/doc/39360>.

@article{Li1987,
abstract = {In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems-Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = λ|u|p-2ui,   for x ∈ Rn, 1 ≤ i ≤ N and u = (u1, u2, ..., uN) ∈ E = \{v = (v1, v2, ..., vN) | vi ∈ H1(Rn), 1 ≤ i ≤ N\},where aαβ(x,u) satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before.},
author = {Li, Gong Bao},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Autovalores; Soluciones; second order quasilinear elliptic system; divergence form; energy functional},
language = {eng},
number = {3-4},
pages = {371-399},
title = {Eigenvalue problems of quasilinear elliptic systems on Rn.},
url = {http://eudml.org/doc/39360},
volume = {3},
year = {1987},
}

TY - JOUR
AU - Li, Gong Bao
TI - Eigenvalue problems of quasilinear elliptic systems on Rn.
JO - Revista Matemática Iberoamericana
PY - 1987
VL - 3
IS - 3-4
SP - 371
EP - 399
AB - In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems-Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = λ|u|p-2ui,   for x ∈ Rn, 1 ≤ i ≤ N and u = (u1, u2, ..., uN) ∈ E = {v = (v1, v2, ..., vN) | vi ∈ H1(Rn), 1 ≤ i ≤ N},where aαβ(x,u) satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before.
LA - eng
KW - Ecuaciones diferenciales elípticas; Autovalores; Soluciones; second order quasilinear elliptic system; divergence form; energy functional
UR - http://eudml.org/doc/39360
ER -