Related papers: On Romanoff's theorem

In the present note we prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri.

New cases of the multiplicity conjecture are considered.

In this article we propose a revisitation of the well-known argument principle that may lead to the solution of the Riemann hypothesis. We are looking for collaborators.

We review some of the basic mathematical results about density functional theory.

In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.

In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in $S^3$ that sharpens the classical theorem. Then a relative version of Markov's theorem concerning a fixed braided portion in the knot. We also…

We prove a stability version of the Pr\'ekopa-Leindler inequality.

Some extensions of the (third-class) Romanovski polynomials (also called Romanovski/pseudo-Jacobi polynomials), which appear in bound-state wavefunctions of rationally-extended Scarf II and Rosen-Morse I potentials, are considered. For the…

In this work we provide explicit calculations that support the conclusions stated in Phys. Rev. Lett. 111, 039102 (2013) (comment), regarding recent literature on transverse polarization. We also compare and contrast two methods of deriving…

We give an elementary proof to Hasse theorem.

Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line.

We prove some non-tangential Burns-Krantz type boundary rigidity theorems.

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures would lead to a deeper understanding of the Willmore functional…

Exact solutions of the relativistic many-body problem are presented

We extend a recent breakthrough result relating expectation thresholds and actual thresholds to include some rainbow versions.

We obtain similar types of conclusions as that of Br\"{u}ck [1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover, a number of examples have been exhibited to justify the…

In this paper, we intend to revisit Theorem 2 of [3] formulating it in a way that, weakening the hypotheses and, at the same time, highlighting the richer conclusion allowed by the proof, it can potentially be applicable to a broader range…

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