A quasilinear problem with fast growing gradient

A quasilinear problem with fast growing gradient

In this paper, we consider the following Dirichlet problem for the p-Laplacian in the positive parameters λ and β: {−Δpu=λh(x,u)+βf(x,u,∇u)in Ωu=0on ∂Ω,where h,f are continuous nonlinearities satisfying 0≤ω1(x)uq−1≤h(x,u)≤ω2(x)uq−1 with 1

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Veröffentlicht in:Applied mathematics letters 2013-04, Vol.26 (4), p.520-523
Hauptverfasser: Bueno, Hamilton, Ercole, Grey
Format: Artikel
Sprache:eng
Schlagworte:
Beta
Consumer goods
Dependence on the gradient
Dirichlet problem
Mathematical analysis
Nonlinearity
p-Laplacian
Positive solution
Sub- and super-solution method
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Zusammenfassung:In this paper, we consider the following Dirichlet problem for the p-Laplacian in the positive parameters λ and β: {−Δpu=λh(x,u)+βf(x,u,∇u)in Ωu=0on ∂Ω,where h,f are continuous nonlinearities satisfying 0≤ω1(x)uq−1≤h(x,u)≤ω2(x)uq−1 with 1
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2012.12.009