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Scaling properties of functionals and existence of constrained minimizers

✍ Scribed by Jacopo Bellazzini; Gaetano Siciliano


Book ID
113710089
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
197 KB
Volume
261
Category
Article
ISSN
0022-1236

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Continuity Properties of Minimizers of I
✍ Vincenzo Ferone; Nicola Fusco πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 241 KB

We prove continuity of minimizers of integral functionals of the form w Ε½ . x Ε½ . < < p H f x, u, Du q hDu , where the integrand f x,, grows like , with ⍀ 0 0 p ) 1, and h is in a suitable Lorentz space. Continuity of solutions of nonlinear Ε½ . Ε½ . equations of the form div A x, u, Du s div h is al