Artículos de revistas
Existence and concentration of solutions for a class of biharmonic equations
Fecha
2013-08-02Registro en:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, SAN DIEGO, v. 390, n. 1, pp. 274-289, 37043, 2012
0022-247X
10.1016/j.jmaa.2012.01.039
Autor
Pimenta, Marcos T. O.
Soares, Sérgio Henrique Monari
Institución
Resumen
Some superlinear fourth order elliptic equations are considered. A family of solutions is proved to exist and to concentrate at a point in the limit. The proof relies on variational methods and makes use of a weak version of the Ambrosetti-Rabinowitz condition. The existence and concentration of solutions are related to a suitable truncated equation. (C) 2012 Elsevier Inc. All rights reserved.