Entire positive solution to the system of nonlinear elliptic equations
نویسندگان
چکیده
منابع مشابه
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولEntire Solutions to a Class of Fully Nonlinear Elliptic Equations
We study nonlinear elliptic equations of the form F (Du) = f(u) where the main assumption on F and f is that there exists a one dimensional solution which solves the equation in all the directions ξ ∈ Rn. We show that entire monotone solutions u are one dimensional if their 0 level set is assumed to be Lipschitz, flat or bounded from one side by a hyperplane.
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We study the radial symmetry and asymptotic behavior at x = 1 of positive solutions of u = '(jxj)u ; x 2 IR n and jxj large () where > 1 and '(r) is positive and continuous for r large. In particular we give conditions on ' which guarantee that each positive solution of () satisses u(x) u(jxj) ! 1 as jxj ! 1 where u(r) is the average of u on the sphere jxj = r.
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2006
ISSN: 1687-2762
DOI: 10.1155/bvp/2006/32492