Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844457 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 14 Pages |
Abstract
In this work we improve some known results for a singular operator and also for a wide class of lower-order terms by proving a multiplicity result. The proof is made by applying the generalized mountain-pass theorem due to Ambrosetti and Rabinowitz. To do this, we show that the minimax levels are in a convenient range by combining a special class of approximating functions, due to Gazzola and Ruf, with the concentrating functions of the best Sobolev constant.
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Authors
R.B. Assunção, P.C. Carrião, O.H. Miyagaki,