Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities
نویسندگان
چکیده
منابع مشابه
Multiple Positive Solutions for Quasilinear Elliptic Problems with Sign-changing Nonlinearities
Using variational arguments we prove some nonexistence and multiplicity results for positive solutions of a system of p−Laplace equations of gradient form. Then we study a p−Laplace type problem with nonlinear boundary conditions.
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In this article, we study the second-order three-point boundaryvalue problem u′′(t) + a(t)u′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, u′(0) = 0, u(1) = αu(η), where 0 < α, η < 1, a ∈ C([0, 1], (−∞, 0)) and f is allowed to change sign. We show that there exist two positive solutions by using Leggett-Williams fixed-point theorem.
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In this paper, we study the nonlinear second-order m-point boundary value problem u′′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, βu(0)− γu′(0) = 0, u(1) = m−2 X i=1 αiu(ξi), where the nonlinear term f is allowed to change sign. We impose growth conditions on f which yield the existence of at least two positive solutions by using a fixed-point theorem in double cones. Moreover, the associated Green’s function...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2004
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337504403078