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Calculus of variations

Known as: Calculus of variation, Variational Method, Minimum principle 
Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals, which are mappings from a set of… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Abstract: How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous… 
Highly Cited
2013
Highly Cited
2013
Normed Spaces.- Convex sets and functions.- Weak topologies.- Convex analysis.- Banach spaces.- Lebesgue spaces.- Hilbert spaces… 
Highly Cited
2012
Highly Cited
2012
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self… 
Highly Cited
2007
Highly Cited
2007
Measure Theory and Lp Spaces.- Measures.- Lp Spaces.- The Direct Method and Lower Semicontinuity.- The Direct Method and Lower… 
Review
2002
Review
2002
The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and… 
Highly Cited
1999
Highly Cited
1999
This is a self-contained paper which introduces a fundamental problem in the calculus of variations, the problem of finding… 
Highly Cited
1984
Highly Cited
1983
Highly Cited
1983
1. Regular Variational Integrals.- 2. Finite Elasticity and Weak Diffeomorphisms.- 3. The Dirichlet Integral in Sobolev Spaces… 
Highly Cited
1966
Highly Cited
1966
Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems… 
Highly Cited
1965
Highly Cited
1965
Continuous convergence, implicit functions, ordinary differential equations Fields of curves and multidimensional surfaces…