Existência de soluções Multi-Bump para uma classe de problemas quasilineares
Using variational methods we show the existence of a positive Multi-Bump solutions for the following class of quasilinear problems: −∆pu + (λV (x) + Z(x))u p−1 = f(u), on R N u ∈ W1,p(R N ), (Pλ) where ∆pu = div (|∇u| p−2∇u) is the p-Laplacian operator, 2 ≤ p < N, λ ∈ (0,∞) is a...
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Formato: | Dissertação |
Idioma: | pt_BR |
Publicado em: |
Brasil
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Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/27456 |
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Resumo: | Using variational methods we show the existence of a positive Multi-Bump solutions
for the following class of quasilinear problems:
−∆pu + (λV (x) + Z(x))u
p−1 = f(u), on R
N
u ∈ W1,p(R
N ),
(Pλ)
where ∆pu = div (|∇u|
p−2∇u) is the p-Laplacian operator, 2 ≤ p < N, λ ∈ (0,∞) is a
parameter, f : R → R is a continuous function with subcritical growth and V, Z : R
N → R
are continuous functions which verify some hypotheses. |
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