| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, PB - Brazil
[2] Univ Fed Goias, Int Matemat & Estat, BR-74001970 Goiania, Go - Brazil
[3] Univ Estadual Paulista, Dept Matemat & Comp, Fac Ciencias & Tecnol, UNESP, BR-19060900 Presidente Prudente, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ANALYSIS AND APPLICATIONS; v. 17, n. 4, p. 665-688, JUL 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
The existence and multiplicity of solutions for a class of quasilinear elliptic problems are established for the type [ -Delta phi u = f (u) in Omega u = 0 on partial derivative Omega where Omega subset of R-N, N >= 2, is a smooth bounded domain. The nonlinear term f : R -> R is a continuous function which is superlinear at the origin and infinity. The function phi : R -> R is an N-function where the well-known Delta(2)-condition is not assumed. Then the Orlicz-Sobolev space phi(t) = (e(t2) - 1)/2, t >= 0. Here, we consider some situations where it is possible to work with global minimization, local minimization and mountain pass theorem. However, some estimates employed here are not standard for this type of problem taking into account the modular given by the N-function phi. (AU) | |
| FAPESP's process: | 17/01756-2 - Variational methods applied to problems modeled in the space of functions of bounded variation |
| Grantee: | Marcos Tadeu de Oliveira Pimenta |
| Support Opportunities: | Regular Research Grants |