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[1] Marino Belloni.
Interpretation of Lavrentiev phenomenon by
relaxation: the higher order case
.
Trans. Amer. Math. Soc.
347
(1995)
20112023.
MR 1290714.
Abstract, references, and article information View Article: PDF This article is available free of charge [2] F. H. Clarke. An indirect method in the calculus of variations . Trans. Amer. Math. Soc. 336 (1993) 655673. MR 1118823. Abstract, references, and article information View Article: PDF This article is available free of charge [3] E. J. McShane. Some existence theorems in the calculus of variations. III. Existence theorems for nonregular problems . Trans. Amer. Math. Soc. 45 (1939) 151171. MR 1501985. Abstract, references, and article information View Article: PDF This article is available free of charge [4] E. J. McShane. Some existence theorems in the calculus of variations. V. The isoperimetric problem in parametric form . Trans. Amer. Math. Soc. 45 (1939) 197216. MR 1501987. Abstract, references, and article information View Article: PDF This article is available free of charge [5] E. J. McShane. Some existence theorems in the calculus of variations. IV. Isoperimetric problems in nonparametric form . Trans. Amer. Math. Soc. 45 (1939) 173196. MR 1501986. Abstract, references, and article information View Article: PDF This article is available free of charge [6] E. J. McShane. Some existence theorems in the calculus of variations. II. Existence theorems for isoperimetric problems in the plane . Trans. Amer. Math. Soc. 44 (1938) 439453. MR 1501976. Abstract, references, and article information View Article: PDF This article is available free of charge [7] E. J. McShane. Some existence theorems in the calculus of variations. I. The Dresden corner condition . Trans. Amer. Math. Soc. 44 (1938) 429438. MR 1501975. Abstract, references, and article information View Article: PDF This article is available free of charge [8] Lawrence M. Graves. The existence of an extremum in problems of Mayer . Trans. Amer. Math. Soc. 39 (1936) 456471. MR 1501857. Abstract, references, and article information View Article: PDF This article is available free of charge [9] David R. Davis. Integrals whose extremals are a given $2n$parameter family of curves . Trans. Amer. Math. Soc. 33 (1931) 244251. MR 1501588. Abstract, references, and article information View Article: PDF This article is available free of charge [10] C. F. Roos. A general problem of minimizing an integral with discontinuous integrand . Trans. Amer. Math. Soc. 31 (1929) 5870. MR 1501468. Abstract, references, and article information View Article: PDF This article is available free of charge [11] Thomas H. Rawles. The invariant integral and the inverse problem in the calculus of variations . Trans. Amer. Math. Soc. 30 (1928) 765784. MR 1501457. Abstract, references, and article information View Article: PDF This article is available free of charge [12] R. G. D. Richardson. A problem in the calculus of variations with an infinite number of auxiliary conditions . Trans. Amer. Math. Soc. 30 (1928) 155189. MR 1501426. Abstract, references, and article information View Article: PDF This article is available free of charge [13] Gillie A. Larew. The Hilbert integral and Mayer fields for the problem of Mayer in the calculus of variations . Trans. Amer. Math. Soc. 26 (1924) 6167. MR 1501264. Abstract, references, and article information View Article: PDF This article is available free of charge [14] E. J. Miles. The absolute minimum of a definite integral in a special field . Trans. Amer. Math. Soc. 13 (1912) 3549. MR 1500903. Abstract, references, and article information View Article: PDF This article is available free of charge [15] Edward Kasner. Natural families of trajectories: conservative fields of force . Trans. Amer. Math. Soc. 10 (1909) 201219. MR 1500834. Abstract, references, and article information View Article: PDF This article is available free of charge [16] Edward Kasner. Errata: ``Natural families of trajectories: conservative fields of force'' [Trans.\ Amer.\ Math.\ Soc. {\bf 10} (1909), no. 2, 201219; 1500834] . Trans. Amer. Math. Soc. 10 (1909) 510. MR 1500486. Abstract, references, and article information View Article: PDF This article is available free of charge [17] Anthony Lispenard Underhill. Invariants of the function $F(x,y,x',y')$ in the calculus of variations . Trans. Amer. Math. Soc. 9 (1908) 316338. MR 1500816. Abstract, references, and article information View Article: PDF This article is available free of charge [18] Oskar Bolza. Existence proof for a field of extremals tangent to a given curve . Trans. Amer. Math. Soc. 8 (1907) 399404. MR 1500794. Abstract, references, and article information View Article: PDF This article is available free of charge [19] Gilbert Ames Bliss. A new form of the simplest problem of the calculus of variations . Trans. Amer. Math. Soc. 8 (1907) 405414. MR 1500795. Abstract, references, and article information View Article: PDF This article is available free of charge [20] Gilbert Ames Bliss. Errata: ``A new form of the simplest problem of the calculus of variations'' [Trans.\ Amer.\ Math.\ Soc. {\bf 8} (1907), no. 3, 405414; 1500795] . Trans. Amer. Math. Soc. 8 (1907) 536. MR 1500484. Abstract, references, and article information View Article: PDF This article is available free of charge [21] E. Goursat. A simple proof of a theorem in the calculus of variations (extract from a letter to Mr.\ W. F. Osgood) . Trans. Amer. Math. Soc. 5 (1904) 110112. MR 1500664. Abstract, references, and article information View Article: PDF This article is available free of charge [22] Gilbert Ames Bliss. An existence theorem for a differential equation of the second order, with an application to the calculus of variations . Trans. Amer. Math. Soc. 5 (1904) 113125. MR 1500665. Abstract, references, and article information View Article: PDF This article is available free of charge [23] Gilbert Ames Bliss. The second variation of a definite integral when one endpoint is variable . Trans. Amer. Math. Soc. 3 (1902) 132141. MR 1500591. Abstract, references, and article information View Article: PDF This article is available free of charge [24] Oskar Bolza. Proof of the sufficiency of Jacobi's condition for a permanent sign of the second variation in the socalled isoperimetric problems . Trans. Amer. Math. Soc. 3 (1902) 305311. MR 1500602. Abstract, references, and article information View Article: PDF This article is available free of charge [25] W. F. Osgood. Errata: ``On a fundamental property of a minimum in the calculus of variations and the proof of a theorem of Weierstrass's'' [Trans.\ Amer.\ Math.\ Soc. {\bf 2} (1901), no. 3, 273295; 1500569] . Trans. Amer. Math. Soc. 3 (1902) 500. MR 1500450. Abstract, references, and article information View Article: PDF This article is available free of charge [26] W. F. Osgood. On the existence of a minimum of the integral $\int\sp {x\sb 1}\sb {x\sb 0}F(x,y,y')dx$ when $x\sb 0$ and $x\sb 1$ are conjugate points, and the geodesics on an ellipsoid of revolution: a revision of a theorem of Kneser's . Trans. Amer. Math. Soc. 2 (1901) 166182. MR 1500563. Abstract, references, and article information View Article: PDF This article is available free of charge [27] Oskar Bolza. New proof of a theorem of Osgood's in the calculus of variations . Trans. Amer. Math. Soc. 2 (1901) 422427. MR 1500577. Abstract, references, and article information View Article: PDF This article is available free of charge [28] W. F. Osgood. On a fundamental property of a minimum in the calculus of variations and the proof of a theorem of Weierstrass's . Trans. Amer. Math. Soc. 2 (1901) 273295. MR 1500569. Abstract, references, and article information View Article: PDF This article is available free of charge [29] W. F. Osgood. Errata: ``On a fundamental property of a minimum in the calculus of variations and the proof of a theorem of Weierstrass's'' [Trans.\ Amer.\ Math.\ Soc. {\bf 2} (1901), no. 3, 273295; 1500569] . Trans. Amer. Math. Soc. 2 (1901) 486. MR 1500445. Abstract, references, and article information View Article: PDF This article is available free of charge 
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