Use este identificador para citar ou linkar para este item: https://locus.ufv.br//handle/123456789/22392
Tipo: Artigo
Título: Soliton solutions for quasilinear Schrödinger equations: the critical exponential case
Autor(es): Miyagaki, Olímpio H.
Soares, Sérgio H. M.
Ó, João M. B. do
Abstract: Quasilinear elliptic equations in R2 of second order with critical exponential growth are considered. By using a change of variable, the quasilinear equations are reduced to semilinear equations, whose respective associated functionals are well defined in H 1 (R2) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a Cerami sequence converging weakly to a solution v. In the proof that v is nontrivial, the main tool is the concentration–compactness principle [P.L. Lions, The concentration compactness principle in the calculus of variations. The locally compact case. Part I and II, Ann. Inst. H. Poincar ́ Anal. Non. Lineaire 1 (1984) 109–145, 223–283] combined with test functions connected with optimal Trudinger–Moser inequality.
Palavras-chave: Trudinger–Moser inequality
Elliptic equations
Critical exponents
Variational methods
Editor: Nonlinear Analysis: Theory, Methods & Applications
Tipo de Acesso: 2006 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.na.2006.10.018
http://www.locus.ufv.br/handle/123456789/22392
Data do documento: 15-Dez-2007
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