Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of...

equations resolved Hilbert's nineteenth problem on regularity in the calculus of variations, which had been a well-known open problem for almost sixty years...

elliptic partial differential equations such as Laplace's equation. Hilbert's nineteenth problem was concerned with this concept. Fernández-Real, Xavier; Ros-Oton...

In mathematics, Hilbert's fourteenth problem, that is, number 14 of Hilbert's problems proposed in 1900, asks whether certain algebras are finitely generated...

Hilbert's twentieth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether all boundary...

Hilbert's fifteenth problem is one of the 23 Hilbert problems set out in a list compiled in 1900 by David Hilbert. The problem is to put Schubert's enumerative...

irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's syzygy theorem Hilbert–Speiser theorem...

known for her work on partial differential equations (especially Hilbert's nineteenth problem) and fluid dynamics. She provided the first rigorous proofs of...

equations, such as the Nash embedding theorem or his proof of Hilbert's nineteenth problem, work which he did in his time at MIT and for which he was given...

equations in many variables, in their respective solutions to Hilbert's nineteenth problem. Bernstein, Serge (1906), "Sur la généralisation du problème...

h-principle. This was applied by Stefan Müller and Vladimír Šverák to Hilbert's nineteenth problem, constructing minimizers of minimal differentiability in the...

theory of semisimple Lie groups has its roots in invariant theory. David Hilbert's work on the question of the finite generation of the algebra of invariants...

Hilbert's nineteenth problem on the analytic solution of elliptic differential equations. His later work was devoted to Dirichlet's boundary problem for...

the nineteenth century. In 1900 David Hilbert included it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth...

department head in 1974. Uraltseva's research on Hilbert's nineteenth problem and Hilbert's twentieth problem led to her recognition in 1967 by the Chebyshev...

to a purely formal system as envisaged in Hilbert's program. This dealt a final blow to the heart of Hilbert's program, the hope that consistency could...

differential equations. He solved Bernstein's problem about minimal surfaces. He solved Hilbert's nineteenth problem on the regularity of solutions of elliptic...

Toulouse Math. (6) 18 (2009), Fascicule Spécial, 59–85. Hilbert's nineteenth problem Plateau's problem "Scheda Personale | DiMaI - Dipartimento di Matematica...

werden wissen ("We must know – we will know"). Answers to some of Hilbert's 23 problems were found during the 20th century. Some have been answered definitively;...

arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of...

be obtained by composing continuous functions of two variables. Hilbert's 13th problem was the conjecture this was not possible in the general case for...

real analysis, Cantor's set theory, Frege's work on foundations, and Hilbert's 'new' use of axiomatic method as a research tool. For example, group theory...

cases is a typical geometric introduction of a 'fudge factor'. Hilbert's fifteenth problem was to overcome the apparently arbitrary nature of these interventions;...

with the "last great universal mathematicians of the nineteenth century", Poincaré and Hilbert. Michael Atiyah, in particular, has commented that whenever...

Liouville's equation was also taken as an example by David Hilbert in the formulation of his nineteenth problem. By using the change of variables log f ↦ u, another...

number of variables has a basis. He extended this further in 1890 to Hilbert's basis theorem. Once these theories had been developed, it was still several...

Eisenstein and Kummer to Hilbert's product formula for the norm symbol. Artin's result provided a partial solution to Hilbert's ninth problem. Around 1955, Japanese...

A. R. (2001), Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem, Texts and Readings in Mathematics, Hindustan Book Agency, p. 84–89...

similar fact holds for arbitrary groups G was the subject of Hilbert's fourteenth problem, and Nagata demonstrated that the answer was negative in general...

A famous list of 23 open problems, called "Hilbert's problems", was compiled in 1900 by German mathematician David Hilbert. This list has achieved great...