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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 |
Aparece nas coleções: | Artigos |
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