EXISTENCE AND UNIQUENESS OF WEAK SOLUTION FOR A NONLOCAL PROBLEM INVOLVING THE P-LAPLACIAN
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Solution for P-Laplacian Dirichlet Problem
whereΔp is the p-Laplacian, Ω ∈ C0,1 be a bounded domain inRN . Let p ≥ 2, λ > 0 and f : Ω×R −→ R be a caratheodory function which is decreasing with respect to the second variable, i.e., f(x, s1) ≥ f(x, s2) for a.a. x ∈ Ω ands1, s2 ∈ R, s1 ≤ s2 (2) Assume, moreover, that there exists f0 ∈ Lp(Ω), p′ = p p−1 and c > 0 such that ∣f(x, s)∣ ≤ f0(x) + c∣s∣p−1 (3) We considered such problems with num...
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2015
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v98i1.2