Using concentration compactness type arguments, we prove some results about the existence of positive ground and bound state of the following system of nonlinear Schrödinger equations:{(- Δ u + u = (1 + a (x)) | u |p - 1 u + λ v,; - Δ v + v = (1 + b (x)) | v |p - 1 v + λ u .)
Solitons of linearly coupled systems of semilinear non-autonomous equations on R^N / Ambrosetti, A.; Cerami, Giovanna; Ruiz, D.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 254:11(2008), pp. 2816-2845. [10.1016/j.jfa.2007.11.013]
Solitons of linearly coupled systems of semilinear non-autonomous equations on R^N
CERAMI, Giovanna;
2008-01-01
Abstract
Using concentration compactness type arguments, we prove some results about the existence of positive ground and bound state of the following system of nonlinear Schrödinger equations:{(- Δ u + u = (1 + a (x)) | u |p - 1 u + λ v,; - Δ v + v = (1 + b (x)) | v |p - 1 v + λ u .)File in questo prodotto:
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