We show that local minimizers of integral functionals featuring p-q growth at infinity and satisfying appropriate convexity properties are locally Lipschitz continuous. As a consequence of this, we obtain an existence result for a related nonconvex minimum problem.
Existence and regularity of minimizers of nonconvex integrals with p-q growth / Celada, Pietro; Cupini, G.; Guidorzi, M.. - In: ESAIM. COCV. - ISSN 1292-8119. - 13:(2007), pp. 343-358. [10.1051/cocv:2007014]
Existence and regularity of minimizers of nonconvex integrals with p-q growth
CELADA, Pietro;
2007-01-01
Abstract
We show that local minimizers of integral functionals featuring p-q growth at infinity and satisfying appropriate convexity properties are locally Lipschitz continuous. As a consequence of this, we obtain an existence result for a related nonconvex minimum problem.File in questo prodotto:
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