The common root of the geometric conditions in Serrin’s lower semicontinuity theorem

Author:

Gori Michele,Maggi Francesco

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference24 articles.

1. Ambrosio, L.: New lower semicontinuity results for integral functionals. Rend. Accad. Naz. Sci. XL, Mem. Mat. 11, 1–42 (1987)

2. Anzellotti, G., Buttazzo, G., Dal Maso, G.: Dirichlet problem for demi-coercive functionals. Nonlinear Anal. 10, 603–613 (1986)

3. Buttazzo, G.: Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations. Pitman Res. Notes Math. Ser. 207. Harlow: Longman 1989

4. Černý, R., Malý, J.: Counterexample to lower semicontinuity in the Calculus of Variations. Math. Z. 248, 689–694 (2001)

5. Černý, R., Malý, J.: Yet more counterexample to lower semicontinuity in the Calculus of Variations. J. Convex Anal. 9, 295–299 (2002)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Relaxation in BV for a class of functionals without continuity assumptions;Nonlinear Differential Equations and Applications NoDEA;2008-04

2. Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands;ESAIM: Control, Optimisation and Calculus of Variations;2007-11-21

3. A remark on Serrin’s Theorem;Nonlinear Differential Equations and Applications NoDEA;2006-12

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