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E. Magenes: Il problema della derivata obliqua regolare per le
equazioni lineari ellittico-paraboliche del secondo ordine in m
variabili.- G. Stampacchia: Completamenti funzionali ed
applicazione alla teoria dei potenziali di dominio.- A. Zygmund: On
regular integrals.- S. Faedo: Applicazione ai problemi di derivata
obliqua di un principio esistenziale e di una legge di dualita fra
le formule di maggiorazione.- G. Fichera: Una introduzione alla
teoria delle equazioni integrali singolari.
S. Agmon: On eigenvalues, eigenfunctions, and resolvents of general
elliptic problems.- A. Ostrowski: Il metodo del quoziente di
Rayleigh.- L.E. Payne: Isoperimetric inequalities for eigenvalues
and their applications.- L. De Vito: Calcolo degli autovalori e
delle autosoluzioni per operatori non autoaggiunti.- L. De Vito:
Sul calcolo per difetto e per eccesso degli autovalori delle
trasformazioni compatte e delle relative molteplicita.- J.B. Diaz:
Upper and lower bounds for the torsional rigidity and the capacity,
derived from the inequality of Schwarz.- M. Schiffer: Fredholm
eigenvalues and conformal mapping.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume
VIa The mechanical response of solids was first reduced to an
organized science of fairly general scope in the nineteenth
century. The theory of small elastic deformations is in the main
the creation of CAUCHY, who, correcting and simplifying the work of
NAVIER and POISSON, through an astounding application of conjoined
scholarship, originality, and labor greatly extended in breadth the
shallowest aspects of the treatments of par ticular kinds of bodies
by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI,
EULER, and COULOMB. Linear elasticity became a branch of
mathematics, culti vated wherever there were mathematicians. The
magisterial treatise of LOVE in its second edition, 1906 - clear,
compact, exhaustive, and learned - stands as the summary of the
classical theory. It is one of the great "gaslight works" that in
BOCHNER'S words! "either do not have any adequate successor[ s] . .
. or, at least, refuse to be super seded . . . ; and so they have
to be reprinted, in ever increasing numbers, for active research
and reference", as long as State and Society shall permit men to
learn mathe matics by, for, and of men's minds. Abundant
experimentation on solids was done during the same century. Usually
the materials arising in nature, with which experiment most justly
concerns itself, do not stoop easily to the limitations classical
elasticity posits.
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