Bifurcation analysis for a modified quasilinear equation with negative exponent
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| Glavni autor: | |
|---|---|
| Datum izdanja: | 2022 |
| Daljnji autori: | , , |
| Format: | Article |
| Jezik: | eng |
| Izvor: | Repositório Institucional da UnB |
| Download full: | https://repositorio.unb.br/handle/10482/43499 https://doi.org/10.1515/anona-2021-0215 |
Sažetak: | In this paper, we consider the following modified quasilinear problem: {−∆u − κu∆u2 = λa(x)u−α + b(x)u β in Ω, u > 0 in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝN is a smooth bounded domain, N ≥ 3, a, b are two bounded continuous functions, α > 0, 1 < β ≤ 22* − 1 and λ > 0 is a bifurcation parameter. We use the framework of analytic bifurcation theory to obtain an analytic global unbounded path of solutions to the problem. Moreover, we get the direction of solution curve at the asmptotic point. |
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