Weak lower semicontinuity of variational functionals with variable growth
نویسندگان
چکیده
منابع مشابه
Lower Semicontinuity in SBV for Integrals with Variable Growth
We prove a lower semicontinuity result for free discontinuity energies with a quasiconvex volume term having non standard growth and a surface term.
متن کاملOn a Restricted Weak Lower Semicontinuity for Smooth Functionals on Sobolev Spaces
This paper is motivated by a problem suggested in Müller [11] that concerns the weak lower semicontinuity of a smooth integral functional I(u) on a Sobolev space along all its weakly convergent minimizing sequences. Here we study a restricted weak lower semicontinuity of I(u) along all weakly convergent Palais-Smale sequences (that is, sequences {uk} satisfying I′(uk)→ 0). In view of Ekeland’s ...
متن کاملA Theorem on Lower Semicontinuity of Integral Functionals
A general lower semicontinuity theorem, in which not only mappings uM and PM but also the integrands fM depend on M , is proved for integrands f, fM under certain general hypotheses including that f(x, u, P ) is convex respect to P and fM converge to f locally uniformly, but fM (x, u, P ) are not required to be convex respect to P and fM (x, ·, ·) do not even need to be lower semicontinuous. So...
متن کاملA lower semicontinuity result for polyconvex functionals in SBV
We prove a semicontinuity theorem for an integral functional made up by a polyconvex energy and a surface term. Our result extends to the BV framework a well known result by John Ball.
متن کاملLower Semicontinuity of Functionals of Fractional Type and Applications to Nonlocal Equations with Critical Sobolev Exponent
In the present paper we study the weak lower semicontinuity of the functional
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 Inequalities and Applications
سال: 2011
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2011-19