Elliptic equations and systems with critical Trudinger-Moser nonlinearities
Djairo G. De Figueiredo - IMECC-UNICAMP, Caixa Postal 6065, CEP: 13081-970, Campinas - SP, Brazil (email)
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.
Keywords: Trudinger-Moser inequality, variational methods, critical growth.
Received: April 2010; Available Online: February 2011.
2015 Impact Factor1.127