Semi-parabolic Bifurcations in Complex Dimension Two
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DOI: 10.1007/s00220-017-2832-y
Abstract: Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dynamical phenomena. In this paper we consider the bifurcations of a holomorphic diffeomorphism in two complex dimensions with a semi-parabolic, semiattracting fixed point. read more here.
Keywords: bifurcations complex; dimension two; semi parabolic; complex dimension ... See more keywords
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
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DOI: 10.1016/j.jde.2020.01.036
Abstract: We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -\Delta u+\lambda_1u=\mu_1u(e^{u^2}-1)+\beta v\left(e^{uv}-1\right) \text{ in } \Omega, &\\ -\Delta v+\lambda_2v=\mu_2v(e^{v^2}-1)+\beta u\left(e^{uv}-1\right)\text{ in… read more here.
Keywords: lambda; bose fluids; dimension two; two bose ... See more keywords
On isolated gaps of numerical semigroups of embedding dimension two
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DOI: 10.1080/00927872.2024.2439500
Abstract: Abstract We explicitly describe all isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical semigroups. read more here.
Keywords: dimension two; isolated gaps; gaps numerical; numerical semigroups ... See more keywords