Critical points of nonconvex and noncoercive functionals

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A bifurcation theorem for noncoercive integral functionals

In this paper we study the existence of critical points for noncoercive functionals, whose principal part has a degenerate coerciveness. A bifurcation result at zero for the associated differential operator is established.

متن کامل

Genericity of Nondegenerate Critical Points and Morse Geodesic Functionals

We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy condition for the critical points. Based on an idea of B. White [24], we prove an abstract genericity result that employs the infinite dimensional Sard–Smale theorem. Applications are given by proving the genericity of metric...

متن کامل

Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

In this paper we study the existence of subharmonic solutions of the Hamiltonian system Jẋ + u∗∇G(t, u(x)) = e(t) where u is a linear map, G is a C-function and e is a continuous function.

متن کامل

Existence of Minimizers for Nonconvex, Noncoercive Simple Integrals

We consider the problem of minimizing autonomous, simple integrals like

متن کامل

On Critical Points of Functionals with Polyconvex Integrands

|f(x,A)| ≤ c(1 + |A|), for some c > 0 and 1 ≤ p < ∞, and u lies in the Sobolev space of vector-valued functions W 1,p(Ω,Rm). We study the implications of a function u0 being a critical point of F . In this regard we show among other things that if f does not depend on the spatial variable x, then every piecewise affine critical point of F is a global minimizer subject to its own boundary condit...

متن کامل

ذخیره 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: Calculus of Variations

سال: 2004

ISSN: 0944-2669,1432-0835

DOI: 10.1007/s00526-004-0274-9