Overdetermined problems for p-Laplace and generalized Monge–Ampére equations
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Overdetermined problems for fully nonlinear elliptic equations
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1 Let D be either the unit ball B1(0) or the half ball B + 1 (0), let f be a strictly positive and continuous function, and let u and Ω ⊂ D solve the following overdetermined problem: ∆u(x) = χ Ω (x)f(x) in D, 0 ∈ ∂Ω, u = |∇u| = 0 in Ω, where χ Ω denotes the characteristic function of Ω, Ωc denotes the set D \Ω, and the equation is satisfied in the sense of distributions. When D = B 1 (0), then...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2020
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2020.1843447