Existence of minimizers for nonautonomous highly discontinuous scalar multiple integrals with pointwise constrained gradients
In this paper we prove existence of radially symmetric minimizers u_A (x)=U_A (|x| ), having U_A (∙) AC monotone & l^(**) (U_A (∙),0) increasing, for the convex scalar multiple integral ∫_(B_R) l^(**)(u(x),|∇u(x)|ρ_1(|x| ) ).ρ_2 (|x| ) dx (*) Among those u(∙) in the Sobolev space A+W_0^1,1∩C^0 (...
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| Format: | article |
| Language: | eng |
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2011
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| Online Access: | http://hdl.handle.net/10174/2533 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/2533 |