Combined effects in nonlinear problems arising in the study of anisotropic continuous media

We are concerned with the Lane–Emden–Fowler equation − Δ u = λ k ( x ) u q ± h ( x ) u p in Ω , subject to the Dirichlet boundary condition u = 0 on ∂ Ω , where Ω is a smooth bounded domain in R N , k and h are variable potential functions, and 0 < q < 1 < p . Our analysis combines monotoni...

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Published inNonlinear analysis Vol. 75; no. 3; pp. 1524 - 1530
Main Authors RADULESCU, Vicenţiu, REPOVS, Dušan
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.02.2012
Elsevier
Subjects
Anisotropic continuous media
Anisotropy
Bifurcation problem
Boundary conditions
Dirichlet problem
Exact sciences and technology
Lane–Emden–Fowler equation
Mathematical analysis
Mathematics
Media
Nonlinearity
Perturbation
Positive solution
Sciences and techniques of general use
58E05
Anisotropic continuous media
35A05
Bifurcation problem
35J60
Positive solution
Lane–Emden–Fowler equation
35B40
Perturbation
Lane-Emden-Fowler equation
Nonlinear analysis
Bifurcation
Nonlinear problems
Mathematical model
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Summary:We are concerned with the Lane–Emden–Fowler equation − Δ u = λ k ( x ) u q ± h ( x ) u p in Ω , subject to the Dirichlet boundary condition u = 0 on ∂ Ω , where Ω is a smooth bounded domain in R N , k and h are variable potential functions, and 0 < q < 1 < p . Our analysis combines monotonicity methods with variational arguments.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.01.037