Uniqueness of renormalized solution to nonlinear Neumann problems with variable exponent
نویسندگان
چکیده
منابع مشابه
Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Abstract. We study the boundary value problem −div((|∇u|1 + |∇u|2)∇u) = f(x, u) in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R . We focus on the cases when f±(x, u) = ±(−λ|u| u+ |u|u), where m(x) := max{p1(x), p2(x)} < q(x) < N ·m(x) N−m(x) for any x ∈ Ω. In the first case we show the existence of infinitely many weak solutions for any λ > 0. In the second case we prove that if λ is...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 2017
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am2287-6-2016