Multiplicity Results forp-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions
نویسندگان
چکیده
منابع مشابه
Multiplicity 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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This paper is devoted to study the multiplicity of nontrivial nonnegative or positive solutions to the following systems −4pu = λa1(x)|u|q−2u + b(x)Fu(u, v), in Ω, −4pv = λa2(x)|v|q−2v + b(x)Fv(u, v), in Ω, u = v = 0, on ∂Ω, where Ω ⊂ R is a bounded domain with smooth boundary ∂Ω; 1 < q < p < N , p∗ = Np N−p ; 4pw = div(|∇w|p−2∇w) denotes the p-Laplacian operator; λ > 0 is a positive pa...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2009
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2009/652109