A nonlinear general Neumann problem involving two critical exponents
نویسندگان
چکیده
We discuss the existence of solutions to the following nonlinear problem involving two critical Sobolev exponents −div(p(x)∇u) = β|u|2−2u+ f(x, u) in Ω, u 6≡ 0 in Ω, ∂u ∂ν = Q(x)|u| 2∗−2u on ∂Ω, where β ≥ 0, Q is continuous on ∂Ω, p ∈ H(Ω) is continuous and positive in Ω̄ and f is a lower-order perturbation of |u|2−1 with f(x, 0) = 0.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 89 شماره
صفحات -
تاریخ انتشار 2014