A result of multiplicity of solutions for a class of quasilinear equations
2012 ◽
Vol 55
(2)
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pp. 291-309
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Keyword(s):
AbstractWe establish the multiplicity of positive weak solutions for the quasilinear Dirichlet problem−Lpu+ |u|p−2u=h(u)in Ωλ,u= 0 on ∂Ωλ, where Ωλ= λΩ, Ω is a bounded domain in ℝN, λ is a positive parameter,Lpu≐ Δpu+ Δp(u2)uand the nonlinear termh(u) has subcritical growth. We use minimax methods together with the Lyusternik–Schnirelmann category theory to get multiplicity of positive solutions.
2019 ◽
Vol 150
(6)
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pp. 3074-3086
2014 ◽
Vol 496-500
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pp. 2216-2219
2014 ◽
Vol 16
(01)
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pp. 1350020
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2016 ◽
Vol 8
(1)
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pp. 52-72
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2022 ◽
Vol 63
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pp. 103397
Keyword(s):
2012 ◽
Vol 14
(03)
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pp. 1250021
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2009 ◽
Vol 51
(3)
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pp. 513-524
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