Artículos de revistas
A Transmission Problem On ℝ 2 With Critical Exponential Growth
Registro en:
Archiv Der Mathematik. , v. 99, n. 3, p. 271 - 279, 2012.
0003889X
10.1007/s00013-012-0428-5
2-s2.0-84866464832
Autor
Figueiredo G.M.
Montenegro M.
Institución
Resumen
In this work we prove the existence of a nontrivial solution for a transmission problem on ℝ 2 with critical exponential growth, that is, the nonlinearity behaves like exp(α 0s 2) as {pipe}s{pipe} → ∞, for some α 0 > 0. © 2012 Springer Basel AG. 99 3 271 279 Adimurthi, Existence of positive solutions of the semilinear Dirichlet problems with critical growth for the N-Laplacian (1990) Ann. Sc. Norm. Sup. Pisa Cl. Sci., 17, pp. 393-413 Ali Mehmeti, F., Regular solutions of transmission and interaction problems for wave equations (1989) Math. Methods Appl. Sci., 11, pp. 665-685 Ali Mehmeti, F., Quasilinear elliptic systems of second order in domains with corners and edges: Nemytskij operator, local existence and asymptotic behaviour (2002) Z. Anal. Anwendungen, 21, pp. 57-90 Ambrosetti, A., Rabinowitz, P.H., Dual variational methods in critical point theory and apllications (1973) J. Functional Analysis, 14, pp. 349-381 Cekic, B., Mashiyev, A.R., Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces (2010) Abstr. Appl. Anal., p. 12. , Art. ID 385048 de Figueiredo, D.G., Miyagaki, O.H., Ruf, B., Elliptic equations in ℝ 2 with nonlinearities in the critical growth range (1995) Calc. Var., 3, pp. 139-153 de Figueiredo, D.G., Miyagaki, O.H., Ruf, B., Corrigendum: "Elliptic equations in ℝ 2 with nonlinearities in the critical growth range" (1996) Calc. Var., 4, p. 203 Fife, P.C., Dynamics of internal layers and diffusive interfaces (2008) CBMS-NSF Reg. Conf. Ser. Appl. Math., 53 Kozlov, V.A., Maz'ya, V.G., Rossmann, J., (1997) Elliptic boundary value problems in domains with point singularities, , Mathematical Surveys and Monographs, 52. American Mathematical Society, Providence, RI Ma, T.F., Muñoz Rivera, J.E., Positive solutions for a nonlinear nonlocal elliptic transmission problem (2003) App. Math. Letters, 16, pp. 243-248 Moser, J., A sharp form of an inequality by N. Trudinger (1985) Ind. Univ. Math. J., 20, pp. 185-201 Pflüger, K., Nonlinear transmission problem in bounded domains of ℝ n (1996) Appl. Anal., 62, pp. 391-403 Willem, M., (1996) Minimax theorems, , Birkhäser