Positive solutions for nonlinear elastic beam models by Bendong Lou

“…We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. …”
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Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem by Yeliussizov, Damir

“…We also show an application to an asymptotic saturation-type version of Rota’s basis conjecture.…”
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Approximate symmetries and gravity by Sylvain Fichet, Prashant Saraswat

“…We study the interplay of our conjecture with emergent symmetries in QFT. In models where gauged U(1)’s enforce accidental symmetries, we find that constraints from the Weak Gravity Conjecture can ensure that our conjecture is satisfied. …”
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Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$ by Timo Keller, Michael Stoll

“…We develop the theory and algorithms necessary to be able to verify the strong Birch–Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over ${\mathbf {Q}}$ . …”
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Hamilton-Connected Mycielski Graphs∗ by Yuanyuan Shen, Xinhui An, Baonyindureng Wu

“…Jarnicki, Myrvold, Saltzman, and Wagon conjectured that if G is Hamilton-connected and not K2, then its Mycielski graph μG is Hamilton-connected. …”
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Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations by Shlapentokh-Rothman, Yakov

“…The weak cosmic censorship conjecture posits that, generically, all singularities in General Relativity arising from regular asymptotically flat initial data should have a complete future null infinity. …”
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection by Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

“…Verstraelen and L. Vrancken gave a conjecture of Wintgen inequality, named as the DDVV-conjecture, for general Riemannian submanifolds in real space forms. …”
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Soft Approximations and Uni-Int Decision Making by Athar Kharal

“…Membership structure of a soft set has been probed in and many interesting properties are presented. We present a new conjecture to solve an optimum choice problem. Our Example 31 presents a case where the new conjecture solves the problem correctly.…”
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Extracting the fingerprints of sequences of random rhythmic auditory stimuli from electrophysiological data. by Fernando A Najman, Antonio Galves, Marcela Svarc, Claudia D Vargas

“…It has been classically conjectured that the brain assigns probabilistic models to sequences of stimuli. …”
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Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle by Kwang Soo Cho

“…This paper shows that this conjecture is correct by using the Onsager variational principle.…”
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Uniform Lipschitz-connectedness and metric convexity by Paranjothi Pillay, Dharmanand Baboolal

“…We provide some examples to corroborate our conjecture.…”
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Remark on functions with all derivatives univalent by M. Lachance

“…An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.…”
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On a question of permutation groups acting on the power set by Li Jinbao, Yang Yong, You Mengxi

“…In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.…”
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Co-convexial reflector curves with applications by Abdallah M. Al-Rashed, Neyamat Zaheer

“…Though, in the said paper, certain convex compact sets (e.g. closed discs, closed line segments and the ones with polygonal boundaries) were shown to be of reflecting type, it was only conjectured that all convex compact sets are likewise. …”
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Note on Quasi-Numerically Positive Log Canonical Divisors by Shigetaka Fukuda

“…We propose a subconjecture that implies the semiampleness conjecture for quasi-numerically positive log canonical divisors and prove the ampleness in some elementary cases.…”
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The Pinchuk example revisited by Fernandes, Filipe, Jelonek, Zbigniew

“…In this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.…”
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New proof and generalization of some results on translated sums over k-almost primes by Laib, Ilias

“…In 2019, Laib et al. proved that the analogous conjecture of Erdős $f(\mathcal{A},h)\le f(\mathbb{N}_{1},h)$ is false for $h\ge 81$ on a sequence of semiprimes. …”
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Unicity of Entire Functions concerning Shifts and Difference Operators by Dan Liu, Degui Yang, Mingliang Fang

“…The corollary of the theorem confirms the conjecture posed by Li and Gao (2011).…”
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On Satnoianu-Wu’s Inequality by Bo-Yan Xi

“…By applying techniques in the theory of convex functions and Schur-geometrically convex functions, the author investigates a conjecture of Satnoianu on an algebraic inequality and generalizes some known results in recent years.…”
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Almost convex metrics and Peano compactifications by R. F. Dickman

“…In an earlier paper, the author conjectured that if a space (X,d) has a Peano compactification, then it must be S-metrizable. …”
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