Lower semicontinuous envelopes in W^{1,1}xL^p

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Abstract

It is studied the lower semicontinuity of functionals of the type \int_{\Omega} f(x, u, v,\nabla u)dx with respect to the (W^{1,1} \times L^p)-weak*topology. Moreover in absence of lower semicontinuity, it is also provided an integral representation in W^{1,1}\times L^p for the lower semicontinuous envelope.
Original language Unknown Banach Center Publications 187-206 https://doi.org/10.4064/bc101-0-15 Published - 1 Jan 2014 Calculus of Variations and PDEs - Duration: 1 Jan 2012 → …

Conference

Conference Calculus of Variations and PDEs 1/01/12 → …