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Giusti, E.; Miranda, M.

Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari. (Italian) Zbl 0167.10703

Arch. Ration. Mech. Anal. 31, 173-184 (1968).
Reviewer: E. Giusti
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0167.10703

Cited in 1 Review
Cited in 74 Documents

MSC:

35D30 Weak solutions to PDEs
35J62 Quasilinear elliptic equations

Keywords:

quasilinear elliptic equations; weak solutions

Citations:

Zbl 0127.31904; Zbl 0155.44501
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Full Text: DOI

References:

[1] Almgren, F. J., Jr., Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Ann. Math. 87 (1968). · Zbl 0162.24703
[2] Campanato, S., Proprietà di hölderianità di alcune classi di funzioni. Ann. Scuola Norm. Sup. Pisa 17, (1963). · Zbl 0121.29201
[3] De Giorgi, E., Sulla differenziabilità e l’analiticità delie estremali degli integrali multipli regolari. Mem. Acc. Sci. Torino (1967). · Zbl 0084.31901
[4] De Giorgi, E., Frontiere orientate di misura minima. Sem. Mat. Scuola Norm. Sup. Pisa (1960–61). · Zbl 0296.49031
[5] Giusti, E., & M. Miranda, Un esempio di soluzioni discontinue per un problema di minime relative ad un integrale regolare del calcolo delle variazioni. Boll. Un. Mat. Ital. 2 (1968). · Zbl 0155.44501
[7] Morrey, C. B., Jr., Multiple integral problems in the calculus of variations and related topics. Ann. Scuola Norm. Sup. Pisa 14 (1960).
[8] Morrey, C. B., Jr., Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38701
[9] Morrey, C. B., Jr., Partial regularity results for non-linear elliptic systems. J. Math. Mech. 17 (1968). · Zbl 0175.11901
[10] Federer, H., Some properties of distributions whose partial derivatives are representable by integration. Bull. Am. Math. Soc. 74 (1968). · Zbl 0163.36503
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