Data di Pubblicazione:
2015
Citazione:
Trudinger-Moser Inequalities with the Exact Growth Condition in ℝN and Applications / N. Masmoudi, F. Sani. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 40:8(2015 Aug 03), pp. 1408-1440. [10.1080/03605302.2015.1026775]
Abstract:
In a recent paper [19], the authors obtained a sharp version of the Trudinger-Moser inequality in the whole space ℝ2, giving necessary and sufficient conditions for the boundedness and the compactness of general nonlinear functionals in W 1, 2(ℝ2). We complete this study showing that an analogue of the result in [19] holds in arbitrary dimensions N ≥2. We also provide an application to the study of the existence of ground state solutions for quasilinear elliptic equations in ℝN.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
ground state solutions; limiting Sobolev embeddings; nonlinear Schrödinger equations; Trudinger-Moser inequalities; analysis; applied mathematics
Elenco autori:
N. Masmoudi, F. Sani
Link alla scheda completa: