The Ekeland variational principle for Henig proper minimizers and super minimizers
نویسندگان
چکیده
منابع مشابه
A comparison principle for minimizers
We give some conditions that ensure the validity of a Comparison principle for the minimizers of integral functionals, without assuming the validity of the Euler–Lagrange equation. We deduce a weak maximum principle for (possibly) degenerate elliptic equations and, together with a generalization of the bounded slope condition, the Lipschitz continuity of minimizers. To prove the main theorem we...
متن کاملA Variational Principle in Discrete Space-Time – Existence of Minimizers
We formulate a variational principle for a collection of projectors in an indefinite inner product space. The existence of minimizers is proved in various situations. In a recent book it was proposed to formulate physics with a new variational principle in space-time [2]. In the present paper we construct minimizers of this variational principle. In order to make the presentation self-contained...
متن کاملMonotonicity Properties of Minimizers and Relaxation for Autonomous Variational Problems
We consider the following classical autonomous variational problem minimize { F (v) = ∫ b a f(v(x), v′(x)) dx : v ∈ AC([a, b]), v(a) = α, v(b) = β } , where the Lagrangian f is possibly neither continuous, nor convex, nor coercive. We prove a monotonicity property of the minimizers stating that they satisfy the maximum principle or the minimum one. By virtue of such a property, applying recent ...
متن کاملMinimizers and symmetric minimizers for problems with critical Sobolev exponent
In this paper we will be concerned with the existence and non-existence of constrained minimizers in Sobolev spaces D(R ), where the constraint involves the critical Sobolev exponent. Minimizing sequences are not, in general, relatively compact for the embedding D(R) →֒ L ∗ (R , Q) when Q is a non-negative, continuous, bounded function. However if Q has certain symmetry properties then all minim...
متن کاملNecessary conditions for super minimizers in constrained multiobjective optimization
This paper concerns the study of the so-called super minimizers related to the concept of super efficiency in constrained problems of multiobjective optimization, where cost mappings are generally set-valued. We derive necessary conditions for super minimizers on the base of advanced tools of variational analysis and generalized differentiation that are new in both finite-dimensional and infini...
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: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.10.065