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filip rindler calculus of variations springer 2018 contents samplechapter www calculusofvariations com contents part i basic course 1 introduction 3 1 1 thebrachistochrone problem 4 1 2 theisoperimetric problem 6 ...
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...Filip rindler calculus of variations springer contents samplechapter www calculusofvariations com part i basic course introduction thebrachistochrone problem theisoperimetric electrostatics stationary states in quantum mechanics optimal saving and consumption sailing against the wind hyperelasticity microstructure crystals phase transitions composite elastic materials convexity thedirect method functionals with convex integrands u dependence thelavrentiev gap phenomenon integral side constraints thegeneral theory functions duality notes historical remarks problems theeuler lagrange equation regularity minimizers multipliers invariances noether s theorem subdifferentials youngmeasures thefundamentaltheorem examples youngmeasuresandnotions convergence gradient young measures homogeneousgradient quasiconvexity null lagrangians ajensen type inequality for rigidity gradients lowersemicontinuity polyconvexity existence global injectivity relaxation quasiconvex envelopes generalized notions y...