On differential equations of mode $2$
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- by Johannes C. C. Nitsche PDF
- Proc. Amer. Math. Soc. 16 (1965), 902-908 Request permission
References
- Serge Bernstein, Sur les équations du calcul des variations, Ann. Sci. École Norm. Sup. (3) 29 (1912), 431–485 (French). MR 1509153
- Lipman Bers, Isolated singularities of minimal surfaces, Ann. of Math. (2) 53 (1951), 364–386. MR 43335, DOI 10.2307/1969547
- Lipman Bers, Non-linear elliptic equations without non-linear entire solutions, J. Rational Mech. Anal. 3 (1954), 767–787. MR 67313, DOI 10.1512/iumj.1954.3.53039
- Robert Finn, Isolated singularities of solutions of non-linear partial differential equations, Trans. Amer. Math. Soc. 75 (1953), 385–404. MR 58826, DOI 10.1090/S0002-9947-1953-0058826-8
- Robert Finn, On equations of minimal surface type, Ann. of Math. (2) 60 (1954), 397–416. MR 66533, DOI 10.2307/1969841
- Robert Finn, On a problem of type, with application to elliptic partial differential equations, J. Rational Mech. Anal. 3 (1954), 789–799. MR 67314, DOI 10.1512/iumj.1954.3.53040
- Robert Finn, New estimates for equations of minimal surface type, Arch. Rational Mech. Anal. 14 (1963), 337–375. MR 157096, DOI 10.1007/BF00250712 —, Remarks relevant to minimal surfaces, Tech. Rep. No. 120, Appl. Math. and Stat. Lab., Stanford Univ., Stanford, Calif., 1963.
- David Gilbarg, Some local properties of elliptic equations, Proc. Sympos. Pure Math., Vol. IV, American Mathematical Society, Providence, R.I., 1961, pp. 127–141. MR 0133578
- H. B. Jenkins, On two-dimensional variational problems in parametric form, Arch. Rational. Mech. Anal. 8 (1961), 181–206. MR 0151906, DOI 10.1007/BF00277437
- H. Jenkins, On quasi-linear elliptic equations which arise from variational problems, J. Math. Mech. 10 (1961), 705–727. MR 0126741
- Howard Jenkins, Super-solutions for quasi-linear elliptic equations, Arch. Rational Mech. Anal. 16 (1964), 402–410. MR 165216, DOI 10.1007/BF00281729
- Howard Jenkins and James Serrin, Variational problems of minimal surface type. I, Arch. Rational mech. Anal. 12 (1963), 185–212. MR 0145194, DOI 10.1007/BF00281225 J. Leray, Discussions d’un problème de Dirichlet, J. Math. Pures Appl. 18 (1939), 249-284.
- Johannes Nitsche, Zu einem Satze von L. Bers über die Lösungen der Minimalflächengleichung, Arch. Math. 9 (1958), 427–429 (German). MR 130624, DOI 10.1007/BF01898623
- Johannes Nitsche and Joachim Nitsche, Über reguläre Variationsprobleme, Rend. Circ. Mat. Palermo (2) 8 (1959), 346–353 (German). MR 114039, DOI 10.1007/BF02843698
- Johannes Nitsche and Joachim Nitsche, Ein Kriterium für die Existenz nicht-linearer ganzer Lösungen elliptischer Differentialgleichungen, Arch. Math. 10 (1959), 294–297 (German). MR 123204, DOI 10.1007/BF01240800
- James Serrin, Dirichlet’s principle in the calculus of variations, Proc. Sympos. Pure Math., Vol. IV, American Mathematical Society, Providence, R.I., 1961, pp. 17–22. MR 0137012
- James Serrin, Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247–302. MR 170096, DOI 10.1007/BF02391014
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 902-908
- MSC: Primary 35.47
- DOI: https://doi.org/10.1090/S0002-9939-1965-0188602-0
- MathSciNet review: 0188602