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...athematician, known for his work on the theory of [[variational inequality|variational inequalities]], the [[calculus of variation]] and the theory of [[elliptic ...this time that his research efforts shifted toward the emerging field of [[variational inequalities]], which he modelled after [[boundary value problem]]s for [[p ...

[[Category:Variational analysts]] [[Category:Functional analysts]] ...

[[Category:American mathematical analysts]] [[Category:Variational analysts]] ...

...Numerical Methods for Science and Technology'', Volume 2: ''Functional and Variational Methods'' by Robert Dautray and Jacques-Louis Lions; Ian N. Sneddon, trans. ...10.1090/S0273-0979-1983-15096-6|title=Book Review: ''Numerical analysis of variational inequalities''|year=1983|last1=Hager|first1=William W.|journal=Bulletin of ...

...rals of set functions" ([3] 11, 1961); "Definitions of Riemann type of the variational integrals" ([3] 11, 1961); "Difference-sets and the [[Banach–Steinhaus theo #Majorants in variational integration, Canadian Journal of Mathematics 18 (1966) 49–74. ...

...hanics'' (1949)<ref>{{cite journal|author=Lewis, D. C.|title=Review: ''The variational principles of mechanics'', by C. Lanczos|journal=Bull. Amer. Math. Soc.|yea * 1949: ''The Variational Principles of Mechanics'' (dedicated to [[Albert Einstein]]), [[University ...

* {{Citation |title=Variational analysis: critical extremals and Sturmian extensions |publisher=Wiley |year ...|author=Smale, Stephen |author-link=Stephen Smale |title=Review: ''Global variational analysis: Weierstrass integrals on a Riemannian manifold'', by Marston Mors ...

...mes]] representation theorem.<ref>{{cite journal|author=Ioan Roșca|title=A variational proof of Ghika–James representation theorem|journal=An. Univ. București Mat [[Category:Mathematical analysts]] ...

[[Category:Variational analysts]] ...

[[Category:Variational analysts]] ...

..., [[David Hilbert|Hilbert]], and [[Oskar Bolza|Bolza]]. Subsequent work on variational problems would strike out in new directions, such as [[Morse theory]], [[op [[Category:American mathematical analysts]] ...

...Variational method|the use as an approximation method in quantum mechanics|Variational method (quantum mechanics)}} The '''calculus of variations''' (or '''variational calculus''') is a field of [[mathematical analysis]] that uses variations, ...

[[Category:Functional analysts]] [[Category:Variational analysts]] ...

...paper on [[Bounded variation#SBV functions|''SBV'' functions]] and related variational problems. ...he title) is a survey paper on free-discontinuity [[calculus of variations|variational problems]] including several details on the theory of ''SBV'' functions, th ...

# '''variational formulations and computational mechanics''' - numerical solutions to mathem It is most common for analysts in solid mechanics to use [[linear]] material models, due to ease of comput ...

...ons &mdash; including medicine, security, and remote sensing &mdash; human analysts still cannot be replaced by computers. For this reason, many important ima * ''Image Processing and Analysis - Variational, PDE, Wavelet, and Stochastic Methods'' by [[Tony F. Chan]] and [https://si ...

|title=Variational methods for the solution of problems of equilibrium and vibrations [[Category:Mathematical analysts]] ...

...tablished a necessary condition for the existence of [[strong extrema]] of variational problems. He also helped devise the [[Weierstrass–Erdmann condition]], whic [[Category:German mathematical analysts]] ...

...anics]]. He presented the mechanical "principles" as simple results of the variational calculus. ==== Variational calculus ==== ...

..., sharper results were obtained two years later by Berestycki and Lions by variational methods. They considered the solutions of the equation as rescalings of min ...ain symmetric solutions of [[nonlinear Schrödinger equation]]s which admit variational interpretations and energy-conserving solutions.{{ran|CL82}} ...