| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 420, n. 1, p. 532-550, DEC 1 2014. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper we consider the fourth-order problem [ Delta(2)u = mu|u|(s-1)u + |u| (2{*}-2)u in Omega, [ u, -Delta u > 0 in Omega, u, Delta u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-N, N >= 5 and 2({*}) = 2N/(N - 4). We assume 2 <= s + 1 < 2({*}) in case N >= 8 and 2({*}) - 2 < s + 1 < 2({*}) for the critical dimensions N = 5, 6, 7. Then we prove that if Omega has a rich topology, described by its Lusternik-Schnirelmann category, then the problem has multiple solutions, at least as many as cat(Omega)(Omega), in case the parameter mu > 0 is sufficiently small. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 10/19320-7 - Hamiltonian systems of elliptic equations and fourth-order elliptic equations |
| Grantee: | Ederson Moreira dos Santos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 10/00603-9 - Hamiltonian systems of elliptic equations |
| Grantee: | Jessyca Lange Ferreira Melo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |