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- Tonellis_theorem_(functional_analysis) abstract "In mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it has major implications for functional analysis and the calculus of variations. Roughly, it shows that weak lower semicontinuity for integral functionals is equivalent to convexity of the integral kernel. The result is attributed to the Italian mathematician Leonida Tonelli.".
- Tonellis_theorem_(functional_analysis) wikiPageID "11905171".
- Tonellis_theorem_(functional_analysis) wikiPageLength "2095".
- Tonellis_theorem_(functional_analysis) wikiPageOutDegree "21".
- Tonellis_theorem_(functional_analysis) wikiPageRevisionID "674796223".
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Calculus_of_variations.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Category:Calculus_of_variations.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Category:Convex_analysis.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Continuous_function.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Convex_function.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Dimension.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Domain_(mathematical_analysis).
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Euclidean_space.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Extended_real_number_line.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Functional_(mathematics).
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Functional_analysis.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink If_and_only_if.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Italy.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Leonida_Tonelli.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Lower_semicontinuous.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Lp_space.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Mathematician.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Mathematics.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Nonlinear.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Nonlinear_system.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Semi-continuity.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLink Weak_topology.
- Tonellis_theorem_(functional_analysis) wikiPageWikiLinkText "Tonelli's theorem (functional analysis)".
- Tonellis_theorem_(functional_analysis) wikiPageWikiLinkText "Tonelli's theorem".
- Tonellis_theorem_(functional_analysis) hasPhotoCollection Tonellis_theorem_(functional_analysis).
- Tonellis_theorem_(functional_analysis) wikiPageUsesTemplate Template:Cite_book.
- Tonellis_theorem_(functional_analysis) wikiPageUsesTemplate Template:One_source.
- Tonellis_theorem_(functional_analysis) subject Category:Calculus_of_variations.
- Tonellis_theorem_(functional_analysis) subject Category:Convex_analysis.
- Tonellis_theorem_(functional_analysis) subject Category:Theorems_in_functional_analysis.
- Tonellis_theorem_(functional_analysis) hypernym Result.
- Tonellis_theorem_(functional_analysis) comment "In mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it has major implications for functional analysis and the calculus of variations. Roughly, it shows that weak lower semicontinuity for integral functionals is equivalent to convexity of the integral kernel. The result is attributed to the Italian mathematician Leonida Tonelli.".
- Tonellis_theorem_(functional_analysis) label "Tonelli's theorem (functional analysis)".
- Tonellis_theorem_(functional_analysis) sameAs m.02rxgl5.
- Tonellis_theorem_(functional_analysis) sameAs Q7820874.
- Tonellis_theorem_(functional_analysis) sameAs Q7820874.
- Tonellis_theorem_(functional_analysis) wasDerivedFrom Tonellis_theorem_(functional_analysis)oldid=674796223.
- Tonellis_theorem_(functional_analysis) isPrimaryTopicOf Tonellis_theorem_(functional_analysis).