Differentiability for Bounded Minimizers of Some Anisotropic Integrals (original) (raw)
2001, Journal of Mathematical Analysis and Applications
AI-generated Abstract
This study investigates the differentiability properties of bounded minimizers of certain anisotropic integrals. The research focuses on integrals with non-standard or p,q growth conditions, revealing new insights into higher integrability results. Key theorems demonstrate that if specific conditions on the integrands are satisfied, then bounded minimizers exhibit desirable regularity features, with implications for the fields of calculus of variations and geometric measure theory.
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