Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Arrigo Cellina"'
Autor:
Arrigo Cellina
Publikováno v:
Journal of Differential Equations. 268:813-824
We prove the local higher differentiability of solutions to the problem of minimising ∫ Ω [ L ( ∇ v ( x ) ) + f ( x ) v ( x ) ] d x on u 0 + W 1 , 2 0 ( Ω ) without assuming any regularity of L and for f ∈ L 2 ( Ω ) .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7d52d7645383527f8a5444235ce37e5
https://doi.org/10.1016/j.jde.2019.08.029
https://doi.org/10.1016/j.jde.2019.08.029
Autor:
Arrigo Cellina
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:4071-4085
We consider the higher differentiability of solutions to the problem of minimising \begin{document}$\int_{Ω} [L(\nabla v(x))+g(x, v(x))]dx~~~ \hbox {on}~~~ u^0+W^{1, p}_0(Ω)$ \end{document} where \begin{document}$\Omega\subset \mathbb R^N$\end{docu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad912b052e360940fe7f495cf6b953e2
https://doi.org/10.3934/dcds.2018177
https://doi.org/10.3934/dcds.2018177
Autor:
Arrigo Cellina
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 23:1543-1553
We consider the higher differentiability of solutions to the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,v(x))]{\rm d}x \quad \hbox {on} \quad u^0+W^{1,p}_0(\Omega) $$ ∫ Ω [ L ( ∇ v ( x ) ) + g ( x,v ( x ) ) ] d x on u 0 + W 0 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ee2189b96d946c39efb2b888a343c3c
https://doi.org/10.1051/cocv/2016064
https://doi.org/10.1051/cocv/2016064
Autor:
Arrigo Cellina
Publikováno v:
Advances in Calculus of Variations. 13:1-14
We prove the local regularity of solutions to the problem of minimizing ∫ Ω [ L ∞ ( ∇ v ( x ) ) + f ( x ) v ( x ) ] 𝑑 x on u 0 + W 0 1 , ∞ ( Ω ) , \int_{\Omega}\bigl{[}L_{\infty}(\nabla v(x))+f(x)v(x)\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cadac30158e7cf4526140df716a92314
https://doi.org/10.1515/acv-2017-0004
https://doi.org/10.1515/acv-2017-0004
Autor:
Arrigo Cellina
Publikováno v:
Annales Mathematicae Silesianae, Vol 31, Iss 1, Pp 5-55 (2017)
We present some results and open problems in the Calculus of Variations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::886d9d8e2d8ca1762e165361d5ee298d
http://www.degruyter.com/view/j/amsil.2017.31.issue-1/amsil-2017-0005/amsil-2017-0005.xml?format=INT
http://www.degruyter.com/view/j/amsil.2017.31.issue-1/amsil-2017-0005/amsil-2017-0005.xml?format=INT
Autor:
Arrigo Cellina
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 22:862-871
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,v(x))]dx \quad \hbox {on} \quad u^0+W^{1,2}_0(\Omega) $$ ∫ Ω [ L ( ∇ v ( x ) ) + g ( x,v ( x ) ) ] dx on u 0 + W 0 1 , 2 ( Ω ) where Ω is a bounded open subset of ℝN
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5341d5cd9ddb09c868ffdd6bd9b87475
https://doi.org/10.1051/cocv/2015034
https://doi.org/10.1051/cocv/2015034
Autor:
Arrigo Cellina, Vasile Staicu
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Submitted by Vasile Staicu (vasile@ua.pt) on 2018-03-15T15:04:27Z No. of bitstreams: 1 CeStPaper_10.1007_s00526-018-1323-0.pdf: 319826 bytes, checksum: b15300e1c7d114f01ea3968501f58873 (MD5) Approved for entry into archive by Diana Silva(dianasilva@u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3876893a6b8a57537928b114511421a5
http://hdl.handle.net/10773/22744
http://hdl.handle.net/10773/22744
Autor:
Bianchini, Stefano **I thank Carlo Mariconda for his very precious help. I also thank Arrigo Cellina for his warm encouragement. E-mail:bianchin@sissa.it.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 1999 231(1):301-318
Autor:
Arrigo Cellina, Giovanni Bonfanti
Publikováno v:
SIAM Journal on Control and Optimization. 51:1639-1650
We prove that the Lavrentiev phenomenon does not occur for the functional ∫Ω[l(|∇ u(x)|) + G(u)] dx on u - u0 ∈ W1,10 (Ω), where L and G are convex functions subject to additional regularity assumptions, and where ∂Ω and u 0 are smooth. ©
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f04cd883a914393fb5b2958bc023c21
https://doi.org/10.1137/12086618x
https://doi.org/10.1137/12086618x
Autor:
Arrigo Cellina, Vasile Staicu
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Submitted by Vasile Staicu (vasile@ua.pt) on 2016-03-04T07:45:19Z No. of bitstreams: 1 CeStPaper_JDE_260(2016)-5834-5846.pdf: 249932 bytes, checksum: 0dc31755d39a8dcacec890e35e733f63 (MD5) Approved for entry into archive by Rita Goncalves(ritaisabel@
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c31a67f3966aa04047cc5d4fb81ab9fb
http://hdl.handle.net/10281/141308
http://hdl.handle.net/10281/141308