For variational integrals defined on vector valued mappings , we establish some structure conditions on that enable us to prove local boundedness for minimizers of . These structure conditions are satisfied in three remarkable examples: , and , for suitable convex functions , , and .
Cite this article
Francesco Leonetti, Elvira Mascolo, Local Boundedness for Vector Valued Minimizers of Anisotropic Functionals. Z. Anal. Anwend. 31 (2012), no. 3, pp. 357–378DOI 10.4171/ZAA/1464