Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities
نویسندگان
چکیده
منابع مشابه
Superlinear elliptic problems with sign changing coefficients
Via variational methods, we study multiplicity of solutions for the problem −∆u = λb(x)|u|q−2u + a u + g(x, u) in Ω , u = 0 on ∂Ω . where a simple example for g(x, u) is |u|p−2u; here a, λ are real parameters, 1 < q < 2 < p ≤ 2∗ and b(x) is a function in a suitable space L. We obtain a class of sign changing coefficients b(x) for which two non-negative solutions exist for any λ > 0, and a...
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(f2) lim u→∞ f(u) u =f+ ¿ 0; lim u→−∞ f(u) u =f− ¿ 0: For the de5niteness, we assume f+ ¿f−, and when f+ =f−, we use f± to represent it. We will consider f being either superlinear or sublinear. f is said to be superlinear if f(u)=u is decreasing in (0;∞) and is increasing in (−∞; 0); and f is said to be sublinear if f(u)=u is increasing in (0;∞) and is decreasing in (−∞; 0): The semilinear equ...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2010
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2010/640841