Full paper in PDF:
$% B. Abdellaoui, V. Felli, and I. Peral, A remark on perturbed elliptic equations of
Caffarelli-Kohn-Nirenberg type, Rev. Mat. Complut. 18 (2005), no. 2, 339–351.%$
A Remark on Perturbed Elliptic Equations of Caffarelli-Kohn-Nirenberg Type
1Departamento de Matemáticas Universidad Autónoma de Madrid Cantoblanco 28049, Madrid — Spain. | 2Dipartimento di Matematica e Applicazioni Università di Milano Bicocca Via Bicocca degli Arcimboldi 8 20126 Milano — Italy. |
Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to the following class of perturbed degenerate elliptic equations with critical growth
where
,
,
,
and
.
Key words: semilinear elliptic equations, critical Sobolev exponent,
Caffarelli-Kohn-Nirenberg inequalities.
2000 Mathematics Subject Classification: 35J70, 35J20, 35B33, 35B20.