Existence of positive solutions for a class of semipositone problems with Kirchhoff operator
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| Main Author: | |
|---|---|
| Publication Date: | 2021 |
| Other Authors: | , |
| Format: | Article |
| Language: | eng |
| Source: | Repositório Institucional da UnB |
| Download full: | https://repositorio.unb.br/handle/10482/45081 https://doi.org/10.5186/aasfm.2021.4640 |
Summary: | In this work we show a result of existence of positive solution for the followingnonlocal problem of Kirchhoff type−M(ˆΩ|∇u|2dx)∆u=f(u)−ainΩ, u= 0on∂Ω,whereΩ⊂RNis a smooth bounded domain,M, fare continuous nonnegative functions anda >0.By using mainly variational methods, we prove the existenceof a solution forasmall enough, undertwo different sets of hypotheses, which generalize the classical superlinear and sublinear problems. |