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 in	Nonlinear analysis Vol. 75; no. 3; pp. 1524 - 1530
Main Authors	RADULESCU, Vicenţiu, REPOVS, Dušan
Format	Journal Article
Language	English
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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Abstract	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.
AbstractList	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. We are concerned with the Lane--Emden--Fowler equation in Delta W, subject to the Dirichlet boundary condition u=0 on {partial differential} Delta W, where Delta *W is a smooth bounded domain in RN, k and h are variable potential functions, and 0<1
Author	Repovš, Dušan Rădulescu, Vicenţiu
Author_xml	– sequence: 1 givenname: Vicenţiu surname: RADULESCU fullname: RADULESCU, Vicenţiu organization: Institute of Mathematics Simion Stoilow of the Romanian Academy, Bucharest, Romania – sequence: 2 givenname: Dušan surname: REPOVS fullname: REPOVS, Dušan organization: Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, P. O. Box 2964, 1001 Ljubljana, Slovenia
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Snippet	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 ,... We are concerned with the Lane--Emden--Fowler equation in Delta W, subject to the Dirichlet boundary condition u=0 on {partial differential} Delta W, where...
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SubjectTerms	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
Title	Combined effects in nonlinear problems arising in the study of anisotropic continuous media
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