SUPERLINEAR ELLIPTIC PROBLEMS WITH SIGN CHANGING COEFFICIENTS
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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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2012
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199712500010