Existence of solutions for a family of polyharmonic and biharmonic equations
نویسندگان
چکیده
منابع مشابه
Existence of solutions for a family of polyharmonic and biharmonic equations
We consider a family of polyharmonic problems of the form (−∆)mu = g(x,u) in Ω, Dαu = 0 on ∂Ω, where Ω ⊂ Rn is a bounded domain, g(x,·) ∈ L∞(Ω), and |α| < m. By using the fibering method, we obtain some results about the existence of solution and its multiplicity under certain assumptions on g. We also consider a family of biharmonic problems of the form ∆2u+ (∆φ+ |∇φ|2)∆u+ 2∇φ ·∇∆u = g(x,u), w...
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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 ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.3405