On some variational problems set on domains tending to infinity
نویسندگان
چکیده
منابع مشابه
Variational Problems on Classes of Convex Domains
We prove the existence of minimizers for functionals defined over the class of convex domains contained inside a bounded set D of R and with prescribed volume. Some applications are given, in particular we prove that the eigenvalues of differential operators of second and fourth order with non-constant coefficients as well as integral functionals depending on the solution of an elliptic equatio...
متن کاملglobal 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...
Higher Order Variational Problems on Two-dimensional Domains
where ∇w represents the tensor of all k order (weak) partial derivatives. Our main concern is the investigation of the smoothness properties of such local minimizers under suitable assumptions on the energy density f . For the first order case (i.e. k = 1) we have rather general results which can be found for example in the textbooks of Morrey [Mo], Ladyzhenskaya and Ural’tseva [LU], Gilbarg an...
متن کاملOrbits Tending Strongly to Infinity under Pairs of Operators on Reflexive Banach Spaces
In [4] we gave some sufficient conditions under which, for given pair of bounded linear operators T and S on an infinite-dimensional complex Hilbert space H, there is a dense set of vectors in H with orbits under T and S tending strongly to infinity. In this paper we are going to extend these results for pairs of operators on an infinite-dimensional complex and reflexive Banach space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2016
ISSN: 1078-0947
DOI: 10.3934/dcds.2016.36.3603