Multiplicity results of fractionalp-Laplace equations with sign-changing and singular nonlinearity
نویسندگان
چکیده
منابع مشابه
Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter
where 2 < α ≤ 3, D denotes the Riemann-Liouville fractional derivative, λ is a positive constant, f (t, x) may change sign and be singular at t = 0, t = 1, and x = 0. By means of the Guo-Krasnoselskii fixed point theorem, the eigenvalue intervals of the nonlinear fractional functional differential equation boundary value problem are considered, and some positive solutions are obtained, respecti...
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By an application of Bonanno’s three critical point theorem, we establish the existence of a nontrivial solution to the problem −∆pu = μ g(x)|u|p−2u |x|p + λa(x)f(u) in Ω, u = 0 on ∂Ω, under some restrictions on g, a and f for certain positive values of μ and λ.
متن کاملMultiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions
and Applied Analysis 3 Theorem 1.3 see 5 . There exists λ0 > 0 such that 1.4 admits exactly two solutions for λ ∈ 0, λ0 , exactly one solution for λ λ0, and no solution for λ > λ0. To proceed, wemake somemotivations of the present paper. Recently, in 6 the author has considered 1.2 with subcritical nonlinearity of concave-convex type, g ≡ 1, and f is a continuous function which changes sign in ...
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In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
متن کاملMultiplicity of positive solutions for critical singular elliptic systems with sign - changing weight function ∗
In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established. With the help of the Nehari manifold, we prove that the system has at least two positive solutions via variational methods.
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2016
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2016.1208186