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Nodal solutions for singularly perturbed equations with critical exponential growth |
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| Authors: | Claudianor O. Alves,Sé rgio H.M. Soares |
| Affiliation: | a Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, 58109-970 Campina Grande, PB, Brazil b Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil |
| Abstract: | The existence and concentration behavior of nodal solutions are established for the equation −?2Δu+V(z)u=f(u) in Ω, where Ω is a domain in R2, not necessarily bounded, V is a positive Hölder continuous function and f∈C1 is an odd function having critical exponential growth. |
| Keywords: | 35J20 35J60 35B25 |
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