In this article we give first a survey on recent results on some Trudinger-Moser type inequalities, and their importance in the study of nonlinear elliptic equations with nonlinearities which have critical growth in the sense of Trudinger-Moser. Furthermore, recent results concerning systems of such equations will be discussed.

Elliptic equations and systems with critical Trudinger-Moser nonlinearities / D. Figueiredo, J.M.D. O', B. Ruf. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 30:2(2011), pp. 455-476. [10.3934/dcds.2011.30.455]

Elliptic equations and systems with critical Trudinger-Moser nonlinearities

B. Ruf
Ultimo
2011

Abstract

In this article we give first a survey on recent results on some Trudinger-Moser type inequalities, and their importance in the study of nonlinear elliptic equations with nonlinearities which have critical growth in the sense of Trudinger-Moser. Furthermore, recent results concerning systems of such equations will be discussed.
critical growth; Trudinger-Moser inequality; variational methods
Settore MAT/05 - Analisi Matematica
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/176945
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