Displaying similar documents to “Integral representation and Γ -convergence of variational integrals with p ( x ) -growth”

Integrability for vector-valued minimizers of some variational integrals

Francesco Leonetti, Francesco Siepe (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We prove that the higher integrability of the data f , f 0 improves on the integrability of minimizers u of functionals , whose model is Ω | D u | p + ( det ( D u ) ) 2 - f , D u + f 0 , u d x , where u : Ω n n and p 2 .

Optimal partial regularity of minimizers of quasiconvex variational integrals

Christoph Hamburger (2007)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We prove partial regularity with optimal Hölder exponent of vector-valued minimizers of the quasiconvex variational integral F ( x , u , D u ) d x under polynomial growth. We employ the indirect method of the bilinear form.