Enclosure and non-existence theorems for area stationary currents and currents with mean curvature vector
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DOI: 10.1007/s00013-020-01461-4
Abstract: We discuss certain geometric properties for area stationary currents and currents with integrable mean curvature, so called “enclosure theorems”. As a consequence, we obtain non-existence results for currents with connected support. Finally, we extend these… read more here.
Keywords: mean curvature; stationary currents; currents currents; area stationary ... See more keywords
Existence and non-existence results for fractional Kirchhoff Laplacian problems
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DOI: 10.1007/s13324-020-00435-7
Abstract: In this paper, we study the following fractional Kirchhoff-type problem: $$\begin{aligned} \left[ a+b\Big (\iint _{{\mathbb {R}}^{2N}} \frac{|u(x)-u(y)|^2}{|x-y|^{N+2s}}dx dy \Big )^{\theta -1}\right] (-\Delta )^s u= & {} |u|^{2^*_s- 2} u\\&\quad + \lambda f(x) |u|^{q-2}u, ~ in… read more here.
Keywords: fractional kirchhoff; existence non; existence; existence results ... See more keywords
Non-existence of orthogonal complex structures on the round 6-sphere
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DOI: 10.1016/j.difgeo.2017.10.013
Abstract: Abstract In this short note, we review the well-known result that there is no orthogonal complex structure on S 6 with respect to the round metric. read more here.
Keywords: existence orthogonal; structures round; round sphere; orthogonal complex ... See more keywords
Non-existence of optimal programs for undiscounted growth models in continuous time
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DOI: 10.1016/j.econlet.2016.12.022
Abstract: We report an example of a two-dimensional undiscounted convex optimal growth model in continuous time in which, although there is a unique “golden rule”, no overtaking optimal solutions exists in a full neighborhood of the… read more here.
Keywords: growth models; optimal programs; continuous time; growth ... See more keywords
Non-existence of natural states for Abelian Chern–Simons theory
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DOI: 10.1016/j.geomphys.2017.01.015
Abstract: We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of… read more here.
Keywords: natural states; chern simons; non existence; existence natural ... See more keywords
On the non-existence of negative weight derivations of the new moduli algebras of singularities
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DOI: 10.1016/j.jalgebra.2020.07.023
Abstract: Abstract We propose a new conjecture about the non-existence of negative weight derivations of the new moduli algebras of weighted homogeneous hypersurface singularities and verify this conjecture up to dimension three. read more here.
Keywords: weight derivations; existence negative; new moduli; derivations new ... See more keywords
Non-existence of positive solutions to nonlocal Lane-Emden equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124067
Abstract: Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of… read more here.
Keywords: nonlocal lane; solutions nonlocal; positive solutions; existence positive ... See more keywords
Non existence of further closed form 2-D sloshing modes in a symmetric triangular basin
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DOI: 10.1016/j.wavemoti.2016.11.002
Abstract: Abstract The study of sloshing modes has a history dating back to Euler. Very few 2-D or 3-D closed form solutions have been constructed and these pertain to the simpler case of inviscid, small amplitude,… read more here.
Keywords: sloshing modes; form sloshing; closed form; existence closed ... See more keywords
Existence and non-existence results for a class of systems under concave-convex nonlinearities
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DOI: 10.1017/s0013091524000476
Abstract: Abstract In this work, we are interested in studying the following class of problems: (𝒫λμ)\begin{align} \left\{ \begin{array}{ll} -\Delta u=f_\lambda(x,u,v)& \text{in}~~\Omega\\ -\Delta v=g_\mu(x,u,v) & \text{in}~~\Omega\\ 0\not\equiv u\geq 0,\,\,0\not\equiv v\geq 0& \text{in}~~\Omega\\ u=v=0&\text{on}~~\partial\Omega \end{array} \right. \end{align} where… read more here.
Keywords: existence non; existence; class; concave convex ... See more keywords
On the non-existence of a square-planar pentaiodide coordination complex I(I)4.
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DOI: 10.1039/d2dt02501a
Abstract: The properties of two conformers of the pentaiodide ion, a V-shaped and regularly observed I5- ion, and a so far undetected square-planar coordination complex of II4- composition, have been investigated by computational methods. The latter… read more here.
Keywords: square planar; coordination; coordination complex; non existence ... See more keywords
A Note of Non‐Existence of Strongly Regular and Deza Graphs
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DOI: 10.1049/ell2.70179
Abstract: In this letter, we prove that strongly regular graphs and Deza digraphs do not exist with parameters where . As a consequence, we provide many parameters for which there is no a difference set. read more here.
Keywords: existence strongly; graphs; deza; strongly regular ... See more keywords