On the necessary condition of Weierstrass in the multiple integral problem of the calculus of variations III

1967 ◽  
Vol 16 (3) ◽  
pp. 321-345
Author(s):  
E. J. McShane
Keyword(s):  
Calculus Of Variations ◽  
Multiple Integral ◽  
Necessary Condition ◽  
Integral Problem ◽  
Multiple Integral Problem

The general double integral problem in the calculus of variations

1933 ◽  
Vol 29 (2) ◽  
pp. 207-211
Author(s):  
R. P. Gillespie
Keyword(s):  
Calculus Of Variations ◽  
General Problem ◽  
Necessary Condition ◽  
Double Integral ◽  
Integral Problem ◽  
Image Position

In a previous paper in these Proceedings the problem of the double integralwas discussed when the function F had the formwhereIt is proposed in the present paper to extend the method to the general problem, where F may have any form provided only that it satisfies the necessary condition of being homogeneous of the first degree in A, B, C.

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