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We provide infinitely many solutions of a Dirichlet problem on balls.

Differential Geometry · Mathematics 2018-06-12 Anna Siffert

The invariant subspace problem is solved correcting my earlier attempts [6]-[12].

General Mathematics · Mathematics 2023-06-27 Sa Ge Lee

We show two results of mean value problem, Smale's mean value problem is comprehensively solved in this paper.

Complex Variables · Mathematics 2022-11-07 Lande Ma , ZhaoKun Ma

The paper deals with continuous solutions of a Schilling's problem.

Classical Analysis and ODEs · Mathematics 2008-02-06 Janusz Morawiec

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

Classical Analysis and ODEs · Mathematics 2009-03-04 N. S. Hoang , A. G. Ramm

In this paper we solve the polarization problem for real Hilbert spaces, a long-standing conjecture that had remained open for nearly three decades. We also confirm that the only extremal configurations are orthonormal sets. These are…

Functional Analysis · Mathematics 2026-05-28 Ángel D. Martínez , Oscar Ortega-Moreno

We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.

Classical Physics · Physics 2021-12-17 M. Moriconi

We claim to resolve the P=?NP problem via a formal argument for P=NP.

Computational Complexity · Computer Science 2007-05-23 Selmer Bringsjord , Joshua Taylor

Exact solutions of the relativistic many-body problem are presented

High Energy Physics - Theory · Physics 2015-06-26 Domingo J. Louis-Martinez

A polynomial algorithm is obtained for the NP-complete linear ordering problem.

Computational Complexity · Computer Science 2007-05-23 Givi Bolotashvili

We survey the various constructions of forward self-similar solutions (and generalizations of self-similar solutions) to the Navier-Stokes equations. We also include and prove an extension of a recent result from [7].

Analysis of PDEs · Mathematics 2018-02-02 Zachary Bradshaw , Tai-Peng Tsai

In this paper we first obtain the existence of smooth solutions to Orlicz-Aleksandrov problem via a Gauss-like curvature flow.

Differential Geometry · Mathematics 2021-11-29 Bin Chen , Peibiao Zhao

We prove that the quiver problem is NP complete.

Representation Theory · Mathematics 2025-08-06 Victor Kac , Bangzheng Li

This article presents an equivalent formulation of the implicit complementarity problem. We demonstrate that solution of the equivalent formulation is equivalent to the solution of the implicit complementarity problem. Moreover, we provide…

Optimization and Control · Mathematics 2023-12-08 Bharat Kumar , Deepmala , A. K. Das

An exact, number-conserving solution to the generalized, orbit-dependent pairing problem is derived by introducing an infinite-dimensional algebra. A method for obtaining eigenvalues and eigenvectors of the corresponding Hamiltonian is also…

Nuclear Theory · Physics 2009-10-30 Feng Pan , J. P. Draayer , W. E. Ormand

In this paper, we will solve the Reifenberg Plateau Problem in Hilbert space.

Classical Analysis and ODEs · Mathematics 2022-11-01 Yangqin Fang

In this paper we give a novel solution to a classical completion problem for square matrices. This problem was studied by many authors through time, and it is completely solved in [2, 3]. In this paper we relate this classical problem to a…

Combinatorics · Mathematics 2020-02-26 Marija Dodig , Marko Stosic

The exact solution of the Cauchy problem of the linear theory of elasticity is given in the paper, when the initial data belong to a specific class of functions.

General Mathematics · Mathematics 2017-06-09 Maksut M. Abenov , Nourlan B. Shaltykov

Multi-soliton solution of the 3-waves problem is represented in explicit determinative form.

High Energy Physics - Theory · Physics 2007-05-23 A. N. Leznov , G. R. Toker , R. Torres-Cordoba

We present a solution of $3x+1$ problem. For a history of this problem we refer the reader to Lagarias, Jeffrey C.

General Mathematics · Mathematics 2018-09-20 Ewa Wanda Graczyńska
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